@book{AST_2006__310__R1_0, author = {Nekov\'a\v{r}, Jan}, title = {Selmer complexes}, series = {Ast\'erisque}, publisher = {Soci\'et\'e math\'ematique de France}, number = {310}, year = {2006}, mrnumber = {2333680}, zbl = {1211.11120}, language = {en}, url = {http://archive.numdam.org/item/AST_2006__310__R1_0/} }
Nekovář, Jan. Selmer complexes. Astérisque, no. 310 (2006), 567 p. http://numdam.org/item/AST_2006__310__R1_0/
[A-C] Simple algebras, base change, and the advanced theory of the trace formula, Annals of Mathematics Studies, vol. 120, Princeton Univ. Press, Princeton, 1989. | MR | Zbl
& -[A-T] Class field theory, 2nd ed., Addison-Wesley, Red wood City, 1990. | MR | Zbl
& -[Be] Limites de représentations cristallines, Compositio Math. 140 (2004), p. 1473-1498. | MR | Zbl | DOI
-[B-B-M] Théorie de Dieudonné cristalline, II, Lect. Notes in Math., vol. 930, Springer, Berlin, 1982. | MR | Zbl
, & -[B-D1] Derived heights and generalized Mazur-Tate regulators, Duke Math. J. 76 (1994), p. 75-111. | MR | Zbl | DOI
& -[B-D2] Derived -adic heights, Amer. J. Math. 117 (1995), p. 1517-1554. | MR | Zbl | DOI
& ,[B-D3] Heegner points on Mumford-Tate curves, Invent. Math. 126 (1996), p. 413-456. | MR | Zbl | DOI
& ,[B1] Hilbert modular forms and the Ramanujan conjecture, preprint available at http://www.arxiv.org/abs/math.NT/0511007. | Zbl | MR | DOI
-[B-K] -functions and Tamagawa numbers of motives, in The Grothendieck Festschrift, I, Progress in Mathematics, vol. 86, Birkhäuser, Boston, Basel, Berlin, 1990, p. 333-400. | MR | Zbl
& -[Bou] Commutative algebra. Chapters 1-7, Springer, Berlin, 1989. | MR
-[Bo-Car] Uniformisation -adique des courbes de Shimura : les théorèmes de Čerednik et de Drinfeld, Astérisque, vol. 196-197, Soc. Math. France, Paris, 1991, p. 45-158. | MR | Zbl
& -[B-C-D-T] On the modularity of elliptic curves over : wild -adic exercises, J. Amer. Math. Soc. 14 (2001), p. 843-939. | MR | Zbl | DOI
, , & -[Bre] Une remarque sur les représentations locales -adiques et les congruences entre formes modulaires de Hilbert, Bull. Soc. Math. France 127 (1999), p. 459-472. | MR | EuDML | Zbl | Numdam | DOI
-[Br-Sh] Local cohomology: an algebraic introduction with geometric applications, Cambridge Stud. in Adv. Math., vol. 60, Cambridge Univ. Press, Cambridge, 1998. | MR | Zbl
& -[Bro] Cohomology of groups, Grad. Texts in Math., vol. 87, Springer, New York, Berlin, 1982. | MR
-[Bru] Pseudocompact algebras, profinite groups and class formations, J. Algebra 4 (1966), p. 442-470. | MR | Zbl | DOI
-[Br-He] Cohen-Macaulay rings, Cambridge Stud. in Adv. Math., vol. 39, Cambridge Univ. Press, Cambridge, 1993. | MR | Zbl
& -[B-L] Cohomologie d'intersection et fonctions de certaines variétés de Shimura, Ann. Sci. École Norm. Sup. 17 (1984), p. 361-412. | MR | EuDML | Zbl | Numdam | DOI
& -[Bu-Fl1] Tamagawa numbers for motives with (non-commutative) coefficients, Doc. Math. 6 (2001), p. 501-570, (electronic). | MR | EuDML | Zbl
& -[Bu-Fl2] Tamagawa numbers for motives with (non-commutative) coefficients, II, Amer. J. Math. 125 (2003), p. 475-512. | MR | Zbl | DOI
& ,[Bu-Gr] On the Equivariant Tamagawa Number Conjecture for Tate motives, Invent. Math. 153 (2003), p. 303-359. | MR | Zbl | DOI
& -[Bu-Ve] On the leading terms of Zeta isomorphisms and -adic -functions in non-commutative Iwasawa theory, Doc. Math., extra vol.: John Coates' Sixtieth Birthday (2006), p. 165-209. | MR | EuDML | Zbl
& -[Car] Sur les représentations -adiques attachées aux formes modulaires de Hilbert, Ann. Sci. École Norm. Sup. 19 (1986), p. 409-469. | MR | EuDML | DOI
-[C-E] Homological algebra, Princeton Univ. Press, Princeton, 1956. | MR | Zbl
& -[Cas] On some results of Atkin and Lehner, Math. Ann. 201 (1973), p. 301-314. | MR | EuDML | Zbl | DOI
-[Ca1] Arithmetic on curves of genus 1. I. On a conjecture of Selmer, J. Reine Angew. Math. 202 (1959), p. 52-99. | MR | EuDML | Zbl
-[Ca2] Arithmetic on curves of genus 1. IV. Proof of the Hauptvermutung, J. Reine Angew. Math. 211 (1962), p. 95-112. | MR | EuDML | Zbl
,[Če] Uniformization of algebraic curves by discrete arithmetic subgroups of with compact quotient spaces, Mat. Sbornik 29 (1976), p. 55-78. | MR | DOI
-[Co-Gr] Kummer theory for abelian varieties over local fields, Invent. Math. 124 (1996), p. 129-174. | MR | Zbl | DOI
& -[Col] Théorie d'Iwasawa des représentations de de Rham d'un corps local, Ann. of Math. (2) 148 (1998), p. 485-571. | MR | Zbl | DOI
-[Con] Grothendieck duality and base change, Lect. Notes in Math., vol. 1750, Springer, Berlin, 2000. | MR | Zbl
-[Cor] Mazur's conjecture on higher Heegner points, Invent. Math. 148 (2002), p. 495-523. | MR | Zbl | DOI
-[Cor-Va] Nontriviality of Rankin-Selberg -functions and points, to appear in -functions and Galois representations (Durham, July 2004), Cambridge Univ. Press. | MR | Zbl
& -[Cu-Re] Methods of Representation Theory, I, Wiley, New York, 1981. | MR
& -[De1] Formes modulaires et représentations -adiques, in Séminaire Bourbaki, 1968/69 (Berlin), Lect. Notes in Math., vol. 179, Springer, 1971, Exp. 355. | MR | Zbl | Numdam | EuDML | DOI
-[De2] Les constantes des équations fonctionnelles des fonctions , in Modular functions of one variable, II (Antwerp, 1972), Lect. Notes in Math., vol. 349, Springer, Berlin, 1973, p. 501-597. | MR | DOI
,[De3] Valeurs de fonctions et périodes d'intégrales, in Automorphic forms, representations and -functions (Corvallis, 1977), Proc. Symposia Pure Math., vol. 33/II, Amer. Math. Soc., Providence, 1979, p. 313-346. | MR | DOI
,[De4] La conjecture de Weil, II, Publ. Math. de l'I.H.É.S. 52 (1980), p. 137-252. | MR | EuDML | Zbl | Numdam | DOI
,[De-Se] Formes modulaires de poids 1, Ann. Sci. École Norm. Sup. 7 (1974), p. 507-530. | MR | EuDML | Zbl | Numdam | DOI
& -[Dic] Linear groups: With an exposition of the Galois field theory, Dover, New York, 1958. | MR
-[Dim] Galois representations modulo and cohomology of Hilbert modular varieties, Ann. Sci. École Norm. Sup. 38 (2005), p. 505-551. | MR | EuDML | Zbl | DOI
-[Dr] Coverings of -adic symmetric domains, Funkc. Anal. i Priloz. 10 (1976), p. 29-40. | MR
-[Fl1] A generalization of the Cassels-Tate pairing, J. Reine Angew. Math. 412 (1990), p. 113-127. | MR | EuDML | Zbl
-[Fl2] Euler characteristics in relative -groups, Bull. London Math. Soc. 32 (2000), p. 272-284. | MR | Zbl | DOI
,[Fo1] Valeurs spéciales des fonctions des motifs, in Séminaire Bourbaki, 1991/92, Astérisque, vol. 206, Soc. Math. France, Paris, 1992, Exp. 751, p. 205-249. | MR | EuDML | Zbl | Numdam
-[Fo2] Représentations -adiques potentiellement semi-stables, in Périodes -adiques (Bures-sur-Yvette, 1988), Astérisque, vol. 223, Soc. Math. France, Paris, 1994, p. 321-347. | MR | Zbl | Numdam
,[Fo-Ma] Geometric Galois representations, in Elliptic Curves, Modular Forms and Fermat's Last Theorem (J. Coates & S. Yau, eds.), International Press, Boston, 2nd ed., 1997, p. 190-227. | MR
& -[Fo-PR] Autour des conjectures de Bloch et Kato : cohomologie galoisienne et valeurs de fonctions , in Motives (Seattle, 1991), Proc. Symposia in Pure Math., vol. 55/I, Amer. Math. Soc., Providence, 1994, p. 599-706. | MR | Zbl | DOI
& -[F-H] Nonvanishing theorems for automorphic -functions on , Ann. of Math. (2) 142 (1995), p. 385-423. | MR | Zbl | DOI
& -[Fu-Ka] A formulation of conjectures on -adic zeta functions in non-commutative Iwasawa theory, to appear in Proc. St. Petersburg Math. Soc. | Zbl | MR
& -[G-J] Forms of from the analytic point of view, in Automorphic forms, representations and -functions (Corvallis, 1977), Proc. Symposia Pure Math, vol. 33/I, Amer. Math. Soc., Providence, 1979, p. 213-251. | MR | Zbl | DOI
& -[Gre1] The Iwasawa invariants of -extensions of a fixed number field, Amer. J. Math. 95 (1973), p. 204-214. | MR | Zbl | DOI
-[Gre2] Iwasawa theory for -adic representations, in Algebraic number theory, Adv. Stud. Pure Math., vol. 17, Academic Press, Boston, 1989, p. 97-137. | MR | Zbl | DOI
,[Gre3] Iwasawa theory for motives, in -functions and arithmetic (Durham, 1989), London Math. Soc. Lect. Note Ser., vol. 153, Cambridge Univ. Press, Cambridge, 1991, p. 211-233. | MR | Zbl
,[Gre4] Iwasawa theory and -adic deformations of motives, in Motives (Seattle, 1991), Proc. Symposia in Pure Math., vol. 55/II, Amer. Math. Soc., Providence, 1994, p. 193-223. | MR | Zbl | DOI
,[Gre5] Iwasawa theory for elliptic curves, in Arithmetic theory of elliptic curves (Cetraro, 1997), Lect. Notes in Math., vol. 1716, Springer, Berlin, 1999, p. 51-144. | MR | Zbl | DOI
,[Gre6] On the structure of certain Galois cohomology groups, Doc. Math., extra vol.: John Coates' Sixtieth Birthday (2006), p. 335-391. | EuDML | Zbl
,[G-S] -adic -functions and p-adic periods of modular forms, Invent. Math. 111 (1993), p. 407-447. | MR | EuDML | Zbl | DOI
& -[He] Représentations -adiques abéliennes, in Séminaire de Théorie des Nombres de Paris, 1980/81 (M.-J. Bertin, éd.), Progress in Math., vol. 22, Birkhäuser, Boston, 1982, p. 107-126. | MR | Zbl
-[Hi1] Galois representations into attached to ordinary cusp forms, Invent. Math. 85 (1986), p. 545-613. | MR | EuDML | DOI
-[Hi2] On p-adic Hecke algebras for over totally real fields, Ann. of Math. (2) 128 (1988), p. 295-384. | MR | Zbl | DOI
,[Hi3] On nearly ordinary Hecke algebras for over totally real fields, in Algebraic number theory, Adv. Stud. Pure Math., vol. 17, Academic Press, Boston, 1989, p. 139-169. | MR | Zbl | DOI
,[H-T] On the anticyclotomic main conjecture for CM fields, Invent. Math. 117 (1994), p. 89-147. | MR | EuDML | Zbl | DOI
& -[Ho1] The Heegner point Kolyvagin system, Compositio Math. 140 (2004), p. 1439-1472. | MR | Zbl | DOI
-[Ho2] Iwasawa Theory of Heegner points on abelian varieties of -type, Duke Math. J. 124 (2004), p. 1-45. | MR | Zbl | DOI
,[Ho3] Derived -adic heights and -adic -functions, Amer. J. Math. 126 (2004), p. 1315-1340. | MR | Zbl | DOI
,[Iw] On -extensions of algebraic number fields, Ann. of Math. (2) 98 (1973), p. 246-326. | MR | Zbl | DOI
-[Jac] Automorphic forms on , II, Lect. Notes in Math., vol. 278, Springer, Berlin, 1972. | Zbl
-[J-L] Automorphic forms on , Lect. Notes in Math., vol. 114, Springer, Berlin, 1970. | MR | Zbl
& -[J-PS-S] Relèvement cubique non normal, C. R. Acad. Sci. Paris Sér. I Math. 292 (1981), no. 12, p. 567-571. | MR | Zbl
, & -[Ja1] Iwasawa modules up to isomorphism, in Algebraic number theory, Adv. Stud. Pure Math., vol. 17, Academic Press, Boston, 1989, p. 171-207. | MR | Zbl | DOI
-[Ja2] On the -adic cohomology of varieties over number fields and its Galois cohomology, in Galois Groups over (Y. Ihara, K. Ribet & J.-P. Serre, eds.), MSRI Publ., vol. 16, Springer, New York, 1989, p. 315-360. | MR | DOI
,[Ja3] A spectral sequence for Iwasawa adjoints, unpublished manuscript, 1994.
,[Jan] Moduln mit einem höchsten Gewicht, Lect. Notes in Math., vol. 750, Springer, Berlin, 1979. | MR | Zbl
-[Je] Les foncteurs dérivés de et leurs applications en théorie des modules, Lect. Notes in Math., vol. 254, Springer, Berlin, New York, 1972. | MR | Zbl
-[Ka1] Lectures on the approach to Iwasawa theory for Hasse-Weil -functions via , I, in Arithmetic algebraic geometry (Trento, 1991), Lect. Notes in Math., vol. 1553, Springer, Berlin, 1993, p. 50-163. | MR | Zbl | DOI
-[Ka2] p-adic Hodge theory and values of zeta functions of modular forms, in Cohomologies -adiques et applications arithmétiques, III, Astérisque, vol. 295, Soc. Math. France, Paris, 2004, p. 117-290. | MR | Zbl | Numdam
,[Kaw] On Macaulayfication of Noetherian schemes, Trans. Amer. Math. Soc. 352 (2000), p. 2517-2552. | MR | Zbl | DOI
-[K-R] Finiteness of Selmer groups and deformation rings, Invent. Math. 154 (2003), p. 179-198. | MR | Zbl | DOI
& -[Ki] The Parity Theorem of Elliptic Curves at Primes with Super-singular Reduction, to appear in Compositio Math. | MR
-[Kis] Potentially semi-stable deformation rings, preprint, 2005. | MR | Zbl
-[Lan] Base change for , Annals of Mathematics Studies, vol. 96, Princeton Univ. Press, Princeton, 1980. | MR
-[La] Sur les modules plats, C. R. Acad. Sci. Paris 258 (1964), p. 6313-6316. | MR | Zbl
-[Ly] Cohomology theory of groups with a single defining relation, Ann. of Math. (2) 52 (1950), p. 650-665. | MR | Zbl | DOI
-[Mat] Commutative ring theory, 2nd ed., Cambridge Stud. in Adv. Math., vol. 8, Cambridge Univ. Press, Cambridge, 1989. | MR
-[M-T-T] On -adic analogues of the conjectures of Birch and Swinnerton-Dyer, Invent. Math. 84 (1986), p. 1-48. | MR | EuDML | Zbl | DOI
, & -[Maz1] Rational points of abelian varieties with values in towers of number fields, Invent. Math. 18 (1972), p. 183-266. | MR | EuDML | Zbl | DOI
-[Maz2] Modular curves and arithmetic, in Proceedings of the ICM 1983 (Warsaw), I PWN, Warsaw, 1984, p. 185-211. | Zbl
,[M-R1] Studying the growth of Mordell-Weil, Doc. Math. (2003), p. 585-607, extra vol., (electronic). | EuDML | Zbl
& -[M-R2] Organizing the arithmetic of elliptic curves, Adv. in Math. 198 (2005), p. 504-546. | Zbl | DOI
& ,[M-R3] Finding large Selmer groups, J. Diff. Geom. 70 (2005), p. 1-22. | Zbl | DOI
& ,[M-R4] Finding large Selmer rank via an arithmetic theory of local constants, to appear, in Ann. of Math. | Zbl
& ,[McCa1] Duality theorems in multivariable Iwasawa Theory of Number Fields, preprint, 1995.
-[McCa2] Greenberg's conjecture and units in multiple -extensions, Amer. J. Math. 123 (2001), p. 909-930. | Zbl | DOI
,[McC1] A user's guide to spectral sequences, 2nd ed., Cambridge Stud. in Adv. Math., vol. 58, Cambridge Univ. Press, Cambridge, 2000.
-[Mi] Arithmetic duality theorems, Persp. in Math., vol. 1, Academic Press, Boston, 1986. | Zbl
-[Miy] On automorphic forms on and Hecke operators, Ann. of Math. (2) 94 (1971), p. 174-189. | Zbl | DOI
-[Ne1] Kolyvagin's method for Chow groups of Kuga-Sato varieties, Invent. Math. 107 (1992), p. 99-125. | EuDML | Zbl | DOI
-[Ne2] On -adic height pairings, in Séminaire de Théorie des Nombres de Paris, 1990/91 (S. David, ed.), Progress in Math., vol. 108, Birkhäuser, Boston, 1993, p. 127-202. | Zbl
,[Ne3] On the parity of ranks of Selmer groups, II, C. R. Acad. Sci. Sér. I Math. 332 (2001), no. 2, p. 99-104. | Zbl
,[Ne4] The Euler system method for CM points on Shimura curves, to appear in -functions and Galois representations (Durham, July 2004), Cambridge Univ. Press. | Zbl
,[Ne5] On the parity of ranks of Selmer groups, III, preprint, 2006.
,[N-P] On the parity of ranks of Selmer groups, Asian J. Math. 4 (2000), no. 2, p. 437-498. | Zbl | DOI
& -[Ng] Formations de classes et modules d'Iwasawa, in Number theory (Noordwijkerhout, 1983), Lect. Notes in Math., vol. 1068, Springer, Berlin, 1984, p. 167-185. | Zbl
-[Ni] Cohomology of crystalline representations, Duke Math. J. 71 (1993), p. 747-791. | Zbl | DOI
-[N-S-W] Cohomology of number fields, Grund. der Math. Wiss., vol. 323, Springer, Berlin, 2000. | Zbl
, & -[Oh1] On -adic representations attached to automorphic forms, Japan. J. Math. (N.S.) 8 (1982), p. 1-47. | Zbl | DOI
-[Oh2] On the zeta function of an abelian scheme over the Shimura curve, Japan. J. Math. 9 (1983), p. 1-25. | Zbl | DOI
,[Oh3] On the -adic Eichler-Shimura isomorphism for -adic cusp forms, J. Reine Angew. Math. 463 (1995), p. 49-98. | EuDML | Zbl
,[PR1] Arithmétique des courbes elliptiques et théorie d'Iwasawa, Mém. Soc. Math. France (N.S.), vol. 17, Soc. Math. France, Paris, 1984. | EuDML | Zbl | Numdam
-[PR2] Descente infinie et hauteur -adique sur les courbes elliptiques à multiplication complexe, Invent. Math. 70 (1982/83), p. 369-398. | EuDML | Zbl | DOI
,[PR3] Fonctions -adiques, théorie d'Iwasawa et points de Heegner, Bull. Soc. Math. France 115 (1987), p. 399-456. | EuDML | Zbl | Numdam | DOI
,[PR4] Théorie d'Iwasawa et hauteurs -adiques (cas des variétés abéliennes), in Séminaire de Théorie des Nombres de Paris, 1990/91 (S. David, ed.), Progress in Math., vol. 108, Birkhäuser, Boston, 1993, p. 203-220. | Zbl
,[PR5] Théorie d'Iwasawa et hauteurs -adiques, Invent. Math. 109 (1992), p. 137-185. | EuDML | Zbl | DOI
,[PR6] Théorie d'Iwasawa des représentations -adiques sur un corps local, Invent. Math. 115 (1994), p. 81-161. | Zbl | DOI
,[Pl] Height pairings in families of deformations, J. Reine Angew. Math. 486 (1997), p. 97-127. | EuDML | Zbl
-[Ri] Galois action on division points of Abelian varieties with real multiplications, Amer. J. Math. 98 (1976), p. 751-804. | Zbl | DOI
-[Ro] Modular forms, the Ramanujan conjecture and the Jacquet-Langlands correspondence, in Discrete groups, expanding graphs and invariant measures (A. Lubotzky, ed.), Progress in Math., vol. 125, Birkhäuser, Basel, 1994, appendix.
-[Ru] Abelian varieties, -adic heights and derivatives, in Algebra and number theory (Essen, 1992), de Gruyter, Berlin, 1994, p. 247-266. | Zbl
-[Sa] Hilbert modular forms and -adic Hodge theory, preprint, 2001.
-[Sc] Periods of Hecke Characters, Lect. Notes in Math., vol. 1301, Springer, Berlin, 1988. | Zbl
-[Sch1] Über gewisse Galoiscohomologiegruppen, Math. Z. 168 (1979), p. 181-205. | EuDML | Zbl | DOI
-[Sch2] Iwasawa -functions of varieties over algebraic number fields. A first approach, Invent. Math. 71 (1983), p. 251-293. | EuDML | Zbl | DOI
,[Sch3] -adic height pairings, II, Invent. Math. 79 (1985), p. 329-374. | EuDML | Zbl | DOI
,[Sch-Te] Algebras of -adic distributions and admissible representations, Invent. Math. 153 (2003), p. 145-196. | Zbl | DOI
& -[Se1] Corps locaux, Hermann, Paris, 1962. | Zbl
-[Se2] Cohomologie Galoisienne, third ed., Lect. Notes in Math., vol. 5, Springer, Berlin, 1965.
,[Se3] Abelian -adic representations and elliptic curves, W.A. Benjamin, New York, Amsterdam, 1968.
,[Se4] Facteurs locaux des fonctions zêta des variétés algébriques (définitions et conjectures), in Séminaire Delange-Pisot-Poitou, 1969/70, Collected Papers II, vol. 19, p. 581-592. | EuDML
,[Se-Ta] Good reduction of abelian varieties, Ann. of Math. (2) 88 (1968), p. 492-517. | Zbl | DOI
& -[Sh] The special values of the zeta functions associated to Hilbert modular forms, Duke Math. J. 45 (1978), p. 637-679. | Zbl | DOI
-[S-U] Sur les déformations -adiques de certaines représentations automorphes, J. Inst. Math. Jussieu 5 (2006), p. 629-698. | Zbl | DOI
& -[Tay1] On Galois representations associated to Hilbert modular forms, Invent. Math. 98 (1989), p. 265-280. | EuDML | Zbl | DOI
-[Tay2] On Galois representations associated to Hilbert modular forms, II, in Elliptic Curves, Modular Forms and Fermat's Last Theorem (J. Coates & S. Yau, eds.), International Press, Boston, 1995, p. 185-191. | Zbl
,[Tay3] On icosahedral Artin representations, II, Amer. J. Math. 125 (2003), p. 549-566. | Zbl | DOI
,[Tay4] On the meromorphic continuation of degree two -functions, Doc. Math., extra vol.: John Coates' Sixtieth Birthday (2006), p. 729-779. | EuDML | Zbl
,[Tay5]
, private communication.[Ti] Euler systems of CM points on Shimura curves, Ph.D. Thesis, Columbia University, 2003. | MR
-[Va] Special values of anticyclotomic -functions, Duke Math. J. 116 (2003), p. 219-261. | MR | Zbl | DOI
-[Ve1]
- Appendix to [Se2].[Ve2] Des catégories dérivées des catégories abéliennes, Astérisque, vol. 239, Soc. Math. France, Paris, 1996. | MR | Zbl | Numdam
,[Wa1] Quelques propriétés arithmétiques de certaines formes automorphes sur , Compositio Math. 54 (1985), p. 121-171. | MR | EuDML | Zbl | Numdam
-[Wa2] Correspondances de Shimura et quaternions, Forum Math. 3 (1991), p. 219-307. | MR | EuDML | Zbl
,[We] An introduction to homological algebra, Cambridge Stud. in Adv. Math., vol. 38, Cambridge Univ. Press, Cambridge, 1994. | MR | Zbl
-[W] Exercices dyadiques, Invent. Math. 27 (1974), p. 1-22. | MR | EuDML | Zbl | DOI
-[Wi] On ordinary -adic representations associated to modular forms, Invent. Math. 94 (1988), p. 529-573. | MR | EuDML | Zbl | DOI
-[Win] Duality theorems for abelian varieties over -extensions, in Algebraic number theory, Adv. Stud. Pure Math, vol. 17, Academic Press, Boston, 1989, p. 471-492. | MR | Zbl | DOI
-[Ya] Local constants in torsion rings, preprint, 2001. | MR
-[Zh1] Heights of Heegner points on Shimura curves, Ann. of Math. (2) 153 (2001), p. 27-147. | MR | EuDML | Zbl | DOI
-[Zh2] Gross-Zagier formula for , Asian J. Math. 5 (2001), p. 183-290. | MR | Zbl | DOI
,[LC] Local cohomology, Lect. Notes in Math., vol. 41, Springer, Berlin, New York, 1967. | Zbl | MR
-[RD] Residues and duality, Lect. Notes in Math., vol. 20, Springer, Berlin, New York, 1966. | MR | EuDML
-[EGAI] Éléments de géométrie algébrique, I, Publ. Math. de l'I.H.É.S. 4 (1960). | MR | Numdam
-[EGAIV.2] Éléments de géométrie algébrique, IV, Seconde Partie, Publ. Math. de l'I.H.É.S. 24 (1965). | Zbl | Numdam
,[SGA6] Théorie des Intersections et Théorème de Riemann-Roch, Lect. Notes in Math., vol. 225, Springer, Berlin, Heidelberg, New York, 1971. | MR | Zbl
,