Argos seminar on intersections of modular correspondences
Astérisque, no. 312 (2007), 226 p.
@book{AST_2007__312__R1_0,
     author = {Vogel, Gunther and G\"ortz, Ulrich and Wedhorn, Torsten and Meusers, Volker and Viehmann, Eva and Ziegler, Konstantin and Wewers, Stefan and Vollaard, Inken and Bouw, Irene I. and Rapoport, Michael},
     title = {Argos seminar on intersections of modular correspondences},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {312},
     year = {2007},
     language = {en},
     url = {http://www.numdam.org/item/AST_2007__312__R1_0}
}
Vogel, Gunther; Görtz, Ulrich; Wedhorn, Torsten; Meusers, Volker; Viehmann, Eva; Ziegler, Konstantin; Wewers, Stefan; Vollaard, Inken; Bouw, Irene I.; Rapoport, Michael. Argos seminar on intersections of modular correspondences. Astérisque, no. 312 (2007), 226 p. http://www.numdam.org/item/AST_2007__312__R1_0/

[Co] B. Conrad Gross-Zagier revisited, in [ 𝐃𝐙 ] , with an appendix by W. R. Mann, p. 67-164. | MR 2083211 | Zbl 1072.11040

[D] V. G. Drinfel'D Elliptic modules, Math. USSR Sbornik 23 (1974), p. 561- 592. | Article | MR 384707 | Zbl 0321.14014

[DZ] H. Darmon & S.-W. Zhang (eds.) Heegner points and Rankin L-series, Math. Sci. Res. Inst. Publ., vol. 49, 2004, papers from the Workshop on Special Values of Rankin L-Series held in Berkeley, CA, December 2001. | MR 2083206

[G] B. H. Gross - On canonical and quasi-canonical liftings, Invent. Math. 84 (1986), p. 321-326. | Article | MR 833193 | Zbl 0597.14044

[GK] B. Gross & K. Keating - On the intersection of modular correspondences, Invent. Math. 112 (1993), p. 225-245. | Article | MR 1213101 | Zbl 0811.11026

[Ka] H. Katsurada - An explicit formula for Siegel series, Amer. J. Math. 121 (1999), p. 415-452. | Article | MR 1680317 | Zbl 1002.11039

[Kl] K. Keating - Lifting endomorphisms of formal groups, Ph.D. Thesis, Harvard, 1987. | MR 2636034

[K2] K. Keating, Lifting endomorphisms of formal A-modules, Compos. Math. 67 (1988), p. 211-239. | Numdam | MR 951751 | Zbl 0655.14017

[Ki] Y. Kitaoka - Arithmetic of quadratic forms, Cambridge University Press, 1993. | Article | MR 1245266 | Zbl 0785.11021

[Ku2] S. Kudla - Derivatives of Eisenstein series and generating functions for arithmetic cycles, Astérisque, vol. 276, Soc. Math. France, Paris, 2002, séminaire Bourbaki, vol. 1999/200, p. 341-368. | Numdam | MR 1886765 | Zbl 1066.11026

[Ku3] S. Kudla, Derivatives of Eisenstein series and arithmetic geometry, in Proceedings of the International Congress of Mathematicians (Beijing, 2002) , vol. II, Higher Ed. Press, Beijing, 2002, p. 173-183. | MR 1957031 | Zbl 1051.11029

[KR1] S. Kudla & M. Rapoport - Arithmetic Hirzebruch Zagier cycles, J. Reine Angew. Math. 515 (1999), p. 155-244. | Article | MR 1717613 | Zbl 1048.11048

[KR2] S. Kudla, Cycles on Siegel 3-folds and derivatives of Eisenstein series, Ann. Sci. École Norm. Sup. 33 2000), p. 695-756. | Article | MR 1834500 | Zbl 1045.11044

[KRY] S. Kudla, M. Rapoport &; T. Yang Modular forms and special cycles on Shimura curves, to appear. | MR 2220359 | Zbl 1157.11027

[LT1] J. Lubin & J. Tate - Formal complex multiplication in local fields, Ann. Math. 81 (1965), p. 380-387. | Article | MR 172878 | Zbl 0128.26501

[Yl] T. Yang Local densities of 2-adic quadratic forms, J. Number Theory 108 (2004), p. 287-345. | Article | MR 2098640 | Zbl 1086.11022

[Z] T. Zink - The display of a formal p-divisible group, in Cohomologies p-adiques et applications arithmétiques (I), Astérisque, vol. 278, 2002, p. 127-248. | Numdam | MR 1922825 | Zbl 1008.14008

[DG] O. Demchenko & A. Gurevich - p-adic period map for the moduli space of deformations of a formal group, J. Algebra 288 (2005), no. 445-462. | Article | MR 2146139 | Zbl 1078.14062

[Fa] L. Fargues - Application de Hodge-Tate duale d'un groupe de Lubin-Tate, immeuble de Bruhat-Tits du groupe lineaire et filtrations de ramification, url-math.NT/0604252, to appear in Duke Math. J. | MR 2362243 | Zbl 1136.14013

[Fu1] Y. Fujiwara - On divisibilities of special values of real analytic Eisenstein series, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 35 (1988), p. 393-410. | MR 945885 | Zbl 0669.10049

[Fu2] Y. Fujiwara, On Galois actions on p-power torsion points of some one-dimensional formal groups over F p t, J. Algebra 113 (1988), p. 491-510. | Article | MR 929776 | Zbl 0644.14017

[GH1] M. Hopkins & B. Gross The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory, Bull. Amer. Math. Soc. (N.S.) 30 (1994), p. 76-86. | Article | MR 1217353 | Zbl 0857.55003

[GH2] M. Hopkins & B. Gross, Equivariant vector bundles on the Lubin-Tate moduli space, in Topology and representation theory (Evanston, IL, 1992), Contemp. Math., vol. 158, Amer. Math. Soc., 1994, p. 23-88. | Article | MR 1263712 | Zbl 0807.14037

[K3] K. Keating - Galois characters asociated to formal A-modules, Compositio Math. 67 (1988), p. 241-269. | Numdam | MR 959212 | Zbl 0655.14016

[K4] K. Keating, Galois extensions associated to deformations of formal A-modules, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 37 (1990), p. 151-170. | MR 1049024 | Zbl 0732.14022

[Ku1] S. Kudla - Central derivatives of Eisenstein series and height pairings, Ann. of Math. 146 (1997), p. 545-646 | Article | MR 1491448 | Zbl 0990.11032

[LT2] J. Lubin & J. Tate - Formal moduli for one-parameter formal Lie groups, Bull. Soc. Math. France 94 (1966), p. 49-60. | Article | Numdam | MR 238854 | Zbl 0156.04105

[RT] H.-G. Rück & U. Tipp - Heegner points and L-series of automorphic cusp forms of Drinfeld type, Doc. Math. 5 (2000), p. 365-444. | MR 1787948 | Zbl 1012.11039

[S] T. Scanlon - Local André-Oort conjecture for the universal abelian variety, Invent. Math. 163 (2006), no. 1, p. 191-211. | Article | MR 2208421 | Zbl 1086.14020

[Ta] L. H. Tatevossian - Canonical liftings of formal modules, in Number theory (Montreal, 1985), CMS Conf. Proc., vol. 7, Amer. Math. Soc., 1987, p. 457-463. | MR 894334

[DYu] J.-D. Yu - Special lifts of ordinary K3 surfaces and applications, math.AG/0611481. | Zbl 1252.14008

[Yu] J.-K. Yu - On the moduli of quasi-canonical liftings, Compositio Math. 96 (1995), p. 293-321. | Numdam | MR 1327148 | Zbl 0866.14029

[Zh1] S.-W. Zhang - Gross-Zagier formula for GL(2), II, in [𝐃𝐙], p. 191-214. | MR 2083213

[Zh2] S.-W. Zhang , Gross-Zagier formula for GL2, Asian J. Math. 5 (2001), p. 183-290. | Article | MR 1868935 | Zbl 1111.11030

[Zh3] S.-W. Zhang, Heights of Heegner points on Shimura curves, Ann. of Math. 153 (2001), p. 27-147. | Article | MR 1826411 | Zbl 1036.11029

[B] I. I. Bouw Invariants of ternary quadratic forms, this volume, p. 113-137. | MR 2340376 | Zbl 1223.11043

[Go2] U. Görtz - Arithmetic intersection numbers, this volume, p. 15-24. | MR 2340368 | Zbl 1223.11074

[Me1] V. Meusers - Lubin-Tate formal groups, this volume, p. 49- 55. | MR 2340370 | Zbl 1223.11142

[Me2] V. Meusers - Canonical and quasi-canonical liftings in the split case, this volume, p. 87-98. | MR 2340373 | Zbl 1223.14051

[R] M. Rapoport - Deformations of isogenies of formal groups, this volume, p. 139-169. | MR 2340377 | Zbl 1223.14053

[Vg] G. Vogel - Modular polynomials, this volume, p. 1-7. | MR 2340366 | Zbl 1223.11058

[Vi] E. Viehmann - Lifting endomorphisms of formal 𝒪 K -modules, this volume, p. 99-104. | MR 2340374 | Zbl 1156.14321

[VZ] E. Viehmann & K. Ziegler - Formal moduli of formal 𝒪 K -modules, this volume, p. 57-66. | MR 2340371 | Zbl 1159.14024

[VI] I. Vollaard Endomorphisms of quasi-canonical lifts, this volume, p. 105-112. | MR 2340375 | Zbl 1156.14322

[Wd1] T. Wedhorn - The genus of the endomorphisms of a supersingular elliptic curve, this volume, p. 25-47. | MR 2340369 | Zbl 1223.11076

[Wd2] T. Wedhorn Calculation of representation densities, this volume, p. 179-190 | MR 2340379 | Zbl 1223.11044

[Ww1] S. Wewers - Canonical and quasi-canonical liftings, this volume, p. 67-86. | MR 2340372 | Zbl 1156.14323

[Ww2] S. Wewers An alternative approach using ideal bases, this volume, p. 171-177. | MR 2340378 | Zbl 1156.14324

[Go1] U. Görtz - A sum of representation numbers, this volume, p. 9-14. | MR 2340367 | Zbl 1157.14310

[GK] B. Gross & K. Keating - On the intersection of modular correspondences, Invent. math. 112 (1993), p. 225-245. | Article | MR 1213101 | Zbl 0811.11026

[L] S. Lang - Elliptic Functions, Addison-Wesley, Reading, 1973. | MR 409362

[W] H. Weber - Lehrbuch der Algebra, Dritter Band: Elliptische Funktionen und algebraische Zahlen, F. Vieweg, Braunschweig, 1908. | MR 1548048

[GK] B. Gross & K. Keating - On the intersection of modular correspondences, Invent. math. 112 (1993), p. 225-245. | Article | MR 1213101 | Zbl 0811.11026

[H] F. Hirzebruch - Kurven auf den Hilbertschen Modulflächen und Klassenzahlrelationen in Classification of Algebraic Varieties and Compact Complex Manifolds, Lecture Notes in Math., vol. 412, Springer, 1974. | MR 376694

[Vg] G. Vogel Modular polynomials, this volume, p. 1-7 | MR 2340366 | Zbl 1223.11058

[Be] R. Bellmann - Introduction to Matrix Analysis, 2nd ed., Tata McGraw-Hill, 1974. | MR 122820

[BS] S. Borewicz & I. Šafarevič - Zahlentheorie, Birkhäuser, 1966. | Article | MR 195802

[B] I. Bouw - Invariants of ternary quadratic forms, this volume, p. 113-137. | MR 2340376 | Zbl 1223.11043

[DM] P. Deligne & D. Mumford - The irreducibility of the space of curves of given genus, Publ. Math. Inst. Hautes Études Sci. 36 (1969), p. 75-109. | Article | Numdam | MR 262240 | Zbl 0181.48803

[GK] B. Gross & K. Keating. On the intersection of modular correspondences, Invent.math. 112 (1993), p. 225-245. | Article | MR 1213101 | Zbl 0811.11026

[KM] N. Katz & B. Mazur Arithmetic Moduli of Elliptic Curves, Ann. Math. Studies, vol. 108, Princeton University Press, 1985. | MR 772569 | Zbl 0576.14026

[LM] G. Laumon & L. Moret-Bailly - Champs algébriques, Erg. Math. Grenzg. 3. Folge, Band, vol. 39, Springer, 2000. | MR 1771927 | Zbl 0945.14005

[Ma] H. Matsumura Commutative Ring theory, Cambridge University Press, 1986. | MR 879273

[R] M. Rapoport Deformations of isogenies of formal groups, this volume, p. 139-169. | MR 2340377 | Zbl 1223.14053

[Se] J.-P. Serre - A Course in Arithmetic, Graduate Texts in Math., vol. 7, Springer, 1973, | Article | MR 344216 | Zbl 0256.12001

[Vg] G. Vogel - Modular polynomials, in this volume, p. 1-7. | MR 2340366 | Zbl 1223.11058

[Wd1] T. Wedhorn The genus of the endomorphisms of a supersingular elliptic curve, this volume, p. 25-47. | MR 2340369 | Zbl 1223.11076

[Wd2] T. Wedhorn, Calculation of representation densities, this volume, p. 179-190. | MR 2340379 | Zbl 1223.11044

[Do] D. Dorman - Global orders in definite quaternion algebras as endomorphism rings for reduced CM elliptic curves, in Théorie des nombres (Quebec, PQ, 1987), de Gruyter, Berlin, 1989, p. 108 116. | MR 1024555 | Zbl 0697.12011

[GK] B. Gross & K. Keating - On the intersection of modular correspondences, Inventions Math. 112 (1993), p. 225-245. | Article | MR 1213101 | Zbl 0811.11026

[GZ] B. Gross & D. Zagier - On singular moduli, J. Reine Angew. Math. 355 (1985), p. 191-220. | MR 772491 | Zbl 0545.10015

[Ki] Y. Kitaoka - Arithmetic of quadratic forms, Cambridge University Press, 1993. | Article | MR 1245266 | Zbl 0785.11021

[Mi] J. Milne Points on Shimura varieties mod p, in Automorphic forms, representations and L-functions (Oregon State Univ., Corvallis, 1977) Part 2, Proc. Sympos. Pure Math., p. 165-184. | MR 546616

[Wd2] T. Wedhorn - Calculation of representation densities, this volume, p. 179-190. | MR 2340379 | Zbl 1223.11044

[L] S. Lang - Elliptic functions, Addison-Wesley, 1973. | MR 409362

[LT] J. Lubin & J. Tate - Formal complex multiplication in local fields, Ann. Math. 81 (1965) , p. 380-387. | Article | MR 172878 | Zbl 0128.26501

[N] J. Neukirch - Algebraic number theory, Grundlehren der Mathematischen Wissenschaften 322, Berlin, 1999. | Article | MR 1697859

[D] V. G. Drinfel'D - Elliptic modules, Math. USSR Sbornik 23 (1974), no. 4, p. 561-592 | Article | MR 384707 | Zbl 0321.14014

[GH] B. H. Gross & M. J. Hopkins - Equivariant vector bundles on the Lubin-Tate moduli space, in Topology and representation theory (Evanston, IL, 1992), Contemp. Math., vol. 158, Amer. Math. Soc., 1994, p. 23-88 | Article | MR 1263712 | Zbl 0807.14037

[H] M. Hazewinkel - Formal groups and Applications, Academic Press, 1978 | MR 506881 | Zbl 0454.14020

[K2] K. Keating - Lifting endomorphisms of formal A-modules, Compos. Math. 67 (1988), p. 211-239 | Numdam | MR 951751 | Zbl 0655.14017

[D] V. G. Drinfel'D - Elliptic modules, Math. USSR Sbornik 23 (1974), no. 4, p. 561-592. | Article | MR 384707 | Zbl 0321.14014

[G] B. H. Gross - On canonical and quasi-canonical liftings, Invent. math. 84 (1986), p. 321-326. | Article | MR 833193 | Zbl 0597.14044

[H] M. Hazewinkel - Formal groups and Applications, Academic Press, 1978. | MR 506881 | Zbl 0454.14020

[HG] M. J. Hopkins & B. H. Gross - Equivariant vector bundles on the Lubin-Tate moduli space, in Topology and representation theory (Evanston, IL, 1992), Contemp. Math., vol. 158, 1994, p. 23-88. | Article | MR 1263712 | Zbl 0807.14037

[L] J. Lubin - Canonical subgroups of formal groups, Trans. Amer. Math. Soc., vol. 251, 1979. | Article | MR 531971 | Zbl 0431.14014

[LT1] J. Lubin & J. Tate - Formal complex multiplication in local fields, Ann. Math. 81 (1965), p. 380-387. | Article | MR 172878 | Zbl 0128.26501

[LT2] J. Lubin & J. Tate - Formal moduli for one-parameter formal Lie groups, Bull. Soc. Math. France 94 (1966), p. 49-60. | Article | Numdam | MR 238854 | Zbl 0156.04105

[R] M. Rapoport - Deformations of isogenies of formal groups, this volume, p. 139-169 | MR 2340377 | Zbl 1223.14053

[S] J.-P. Serre - Corps locaux, Hermann, 1968. | MR 354618

[VZ] E. Viehmann & K. Ziegler - Formal moduli of formal 𝒪 K -modules, this volume, p. 57-66. | MR 2340371 | Zbl 1159.14024

[Yu] J. K. Yu - On the moduli of quasi-canonical liftings, Compositio Math. 96 (1995), no. 3, p. 293-321. | Numdam | MR 1327148 | Zbl 0866.14029

[CE] H. Cartan & S. Eilenberg - Homological algebra, 1956. | MR 77480 | Zbl 0075.24305

[D] V. G. Drinfel'D - Elliptic modules, Math. USSR, Sb. 23 (1974), p. 561-592. | Article | MR 384707 | Zbl 0321.14014

[G] B. H. Gross - On canonical and quasi-canonical liftings, Invent. Math. 84 (1986), p. 321-326. | Article | MR 833193 | Zbl 0597.14044

[K] N. Katz - Serre-Tate local moduli, in Surfaces algébriques, Sémin. de géométrie algébrique, Orsay 1976-1978, Springer Lect. Notes Math., vol. 868, 1981, p. 138-202. | MR 638600 | Zbl 0477.14007

[L] S. Lang - Elliptic functions, Addison-Wesley, 1973. | MR 409362 | Zbl 0316.14001

[Mes] W. Messing - The crystals associated to Barsotti-Tate groups: with applications to Abelian schemes, Springer Lect. Notes Math., vol. 264, 1972. | MR 347836 | Zbl 0243.14013

[Me1] V. Meusers - Lubin-Tate formal groups, this volume, p. 49-55. | MR 2340370 | Zbl 1223.11142

[Mt] B. Mitchell - Theory of categories, 1965. | MR 202787 | Zbl 0136.00604

[S] G. Shimura- Introduction to the arithmetic theory of automorphic functions, Princeton Univ. Press, 1971. | MR 314766 | Zbl 0872.11023 | Zbl 0221.10029

[VZ] E. Viehmann & K. Ziegler - Formal moduli of formal 𝒪 K -modules, this volume, p. 57-66. | MR 2340371 | Zbl 1159.14024

[Ww1] S. Wewers - Canonical and quasi-canonical liftings, this volume, p. 67-86. | MR 2340372 | Zbl 1156.14323

[K2] K. Keating Lifting endomorphisms of formal A-modules, Compos. Math. 67 (1988) , p. 211-239 | Numdam | MR 951751 | Zbl 0655.14017

[VZ] E. Viehmann & K. Ziegler - Formal moduli of formal 𝒪 K -modules, this volume, p. 57-66. | MR 2340371 | Zbl 1159.14024

[Ww1] S. Wewers - Canonical and quasi-canonical liftings, this volume, p. 67-86. | MR 2340372 | Zbl 1156.14323

[K1] K. Keating - Lifting endomorphisms of formal groups, Ph.D. Thesis, Harvard, 1987. | MR 2636034

[Vi] E. Viehmann - Lifting endomorphisms of formal 𝒪 K -modules, this volume, p. 99-104. | MR 2340374 | Zbl 1156.14321

[VZ] E. Viehmann & K. Ziegler - Formal moduli of formal 𝒪 K -modules, this volume, p. 57-66. | MR 2340371 | Zbl 1159.14024

[Ww1] S. Wewers - Canonical and quasi-canonical liftings, this volume, p. 67-86. | MR 2340372 | Zbl 1156.14323

[C] J. W. S. Cassels - Rational quadratic forms, Cambridge University Press, 1978. | Zbl 0395.10029

[GK] B. Gross & K. Keating - On the intersection of modular correspondences, Invent. math. 112 (1993), p. 225-245. | Article | MR 1213101 | Zbl 0811.11026

[S] J.-P. Serre - Cours d'arithmétique, Presses Universitaires de France, 1970. | MR 255476 | Zbl 0376.12001 | Zbl 0225.12002

[Y1] T. Yang - Local densities of 2-adic quadratic forms, J. Number Theory 108 (2004), p. 287-345. | Article | MR 2098640 | Zbl 1086.11022

[Y2] T. Yang, Isotropic or anisotropic, letter to M. Rapoport, March 2004.

[B] I. I. Bouw - Invariants of ternary quadratic forms, this volume, p. 113-137. | MR 2340376 | Zbl 1223.11043

[F] W. Fulton - Intersection Theory, Springer Verlag, 1984. | Article | MR 732620 | Zbl 0885.14002 | Zbl 0541.14005

[G] B. H. Gross - On canonical and quasi-canonical liftings, Invent. Math. 84 (1986), p. 321-326. | Article | MR 833193 | Zbl 0597.14044

[GK] B. Gross & K. Keating - On the intersection of modular correspondences, Invent. Math. 112 (1993), p. 225-245. | Article | MR 1213101 | Zbl 0811.11026

[Go2] U. Görtz - Arithmetic intersection numbers, this volume, p. 15-24. | MR 2340368 | Zbl 1223.11074

[KM] N. Katz & B. Mazur - Arithmetic Moduli of Elliptic Curves, Annals of Math. Studies, vol. 108, Princeton University Press, 1985. | MR 772569 | Zbl 0576.14026

[Mes] W. Messing - The crystals associated to Barsotti Tate groups: with applications to abelian schemes, Lecture Notes in Math., vol. 264, Springer, 1972. | MR 347836 | Zbl 0243.14013

[Me2] V. Meusers - Canonical and quasi-canonical liftings in the split case, this volume, p. 87-98. | MR 2340373 | Zbl 1223.14051

[Vi] E. Viehmann - Lifting endomorphisms of formal 𝒪 K -modules, this volume, p. 99-104. | MR 2340374 | Zbl 1156.14321

[Vl] I. Vollaard - Endomorphisms of quasi-canonical lifts, this volume, p. ???-??? | Zbl 1156.14322

[Wd1] T. Wedhorn - The genus of the endomorphisms of a supersingular elliptic curve, this volume, p. | Zbl 1223.11076

[Wd2] T. Wedhorn, Calculation of representation densities, this volume, p. 179-190. | MR 2340379 | Zbl 1223.11044

[Ww1] S. Wewers - Canonical and quasi-canonical liftings, this volume, p. 67-86. | MR 2340372 | Zbl 1156.14323

[Ww2]S. Wewers, An alternative approach using ideal bases, this volume, p. 171-177. | MR 2340378 | Zbl 1156.14324

[Y1] T. Yang - Local densities of 2-adic quadratic forms, J. Number Theory 108 (2004), p. 287-345. | Article | MR 2098640 | Zbl 1086.11022

[Y2] T. Yang, Isotropic or anisotropic, letter to Rapoport, March 2004.

[Z] T. Zink - The display of a formal p-divisible group, in Cohomologies p-adiques et applications arithmétiques (I), Astérisque, vol. 278, Soc. Math. France, Paris, 2002, p. 127-248. | Numdam | MR 1922825 | Zbl 1008.14008

[B] I. I. Bouw - Invariants of ternary quadratic forms, this volume, p. 113-137. | MR 2340376 | Zbl 1223.11043

[R] M. Rapoport - Deformations of isogenies of formal groups, this volume, p. 139-169. | MR 2340377 | Zbl 1223.14053

[Vl] I. Vollaard - Endomorphisms of quasi-canonical lifts, this volume, p. 105-112. | MR 2340375 | Zbl 1156.14322

[Wwl] S. Wewers - Canonical and quasi-canonical liftings, this volume, p. 67-86. | MR 2340372 | Zbl 1156.14323

[B] I. I. Bouw - Invariants of ternary quadratic forms, this volume, p. 113-137. | MR 2340376 | Zbl 1223.11043

[GK] B. Gross & K. Keating - On the intersection of modular correspondences, Inventions Math. 112 (1993), p. 225-245. | Article | MR 1213101 | Zbl 0811.11026

[Go2] U. Görtz - Arithmetic intersection numbers, this volume, p. 15-24. | MR 2340368 | Zbl 1223.11074

[HS] Y. Hironaka & F . Sato - Local densities of representations of quadratic forms over p-adic integers (the non-dyadic case), J. Number Theory 83 (2000), no. 1, p. 106-136. | Article | MR 1767655 | Zbl 0949.11023

[Ka] H. Katsurada - An explicit formula for Siegel series, Amer. J. Math. 121 (1999), no. 2, p. 415-452. | Article | MR 1680317 | Zbl 1002.11039

[Ki] Y. Kitaoka - Arithmetic of quadratic forms, Cambridge University Press, 1993. | Article | MR 1245266 | Zbl 0920.11022 | Zbl 0785.11021

[R] M. Rapoport - Deformations of isogenies of formal groups, this volume, p. 139-169. | MR 2340377 | Zbl 1223.14053

[RW] M. Rapoport & T. Wedhorn - The connection to Eisenstein series, this volume, p. 191-208. | MR 2340380 | Zbl 1223.11057

[Wd1] T. Wedhorn - The genus of the endomorphisms of a supersingular elliptic curve, this volume, p. 25-47. | MR 2340369 | Zbl 1223.11076

[Y1] T. Yang - Local densities of 2-adic quadratic forms, J. Number Theory 108 (2004), no. 2, p. 287-345. | Article | MR 2098640 | Zbl 1086.11022

[GK] B. Gross & K. Keating - On the intersection of modular correspondences, Inventiones Math. 112 (1993), p. 225-245. | Article | MR 1213101 | Zbl 0811.11026

[Go2] U. Görtz - Arithmetic intersection numbers, this volume, p. 15-24. | MR 2340368 | Zbl 1223.11074

[Ka] H. Katsurada - An explicit formula for Siegel series, Amer. J. Math. 121 (1999), no. 2, p. 415-452. | Article | MR 1680317 | Zbl 1002.11039

[Kit] Y. Kitaoka - A note on local densities of quadratic forms, Nagoya Math. J. 92 (1983), p. 145-152. | Article | MR 726146 | Zbl 0523.10012

[KR] S. Kudla & M. Rallis - On the Weil-Siegel formula, J. Reine Angew. Math. 387 (1988), p. 1-68. | MR 946349 | Zbl 0644.10021

[Ku1] S. Kudla - Some extensions of the Siegel Weil formula, preprint 1992, available at http://www.math.umd.edu/~ssk/ssk.research.html. | Zbl 1229.11082

[Ku2] S. Kudla, Notes on the local theta correspondence, preprint 1996, available at http://www.math.umd.edu/~ssk/ssk.research.html.

[Ku3] S. Kudla, Central derivatives of Eisenstein series and height pairings, Ann. of Math. (2) 146 (1997), no. 3, p. 545-646. | Article | MR 1491448 | Zbl 0990.11032

[Ku4] S. Kudla - Derivatives of Eisenstein series and arithmetic geometry, in Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002), Higher Ed. Press, Beijing, 2002, p. 173-183. | MR 1957031 | Zbl 1051.11029

[Mi] J. Milne - Points on Shimura varieties mod p, in Automorphic forms, representations and L-functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, 1977), Part 2, p. 165-184. | MR 546616 | Zbl 0418.14022

[Ral] S. Rallis - On the Howe duality conjecture, Comp. Math. 51 (1984), p. 333-399. | Numdam | MR 743016 | Zbl 0624.22011

[Rao] R. Rao - On some explicit formulas in the theory of the Weil representation, Pacific J. Math. 157 (1993), p. 335-371. | Article | MR 1197062 | Zbl 0794.58017

[Wd1] T. Wedhorn - The genus of the endomorphisms of a supersingular elliptic curve, this volume, p. 25-47. | MR 2340369 | Zbl 1223.11076

[Wd2] T. Wedhorn, Calculation of representation densities, this volume, p. 179-190. | MR 2340379 | Zbl 1223.11044

[We] A. Weil - Sur certains groupes d'opérateurs unitaires, Acta Math. 111 (1964), p. 143-211. | Article | MR 165033 | Zbl 0203.03305