Valeurs spéciales des fonctions L des motifs
Séminaire Bourbaki : volume 1991/92, exposés 745-759, Astérisque, no. 206 (1992), Exposé no. 751, 45 p.
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Fontaine, Jean-Marc. Valeurs spéciales des fonctions $L$ des motifs, dans Séminaire Bourbaki : volume 1991/92, exposés 745-759, Astérisque, no. 206 (1992), Exposé no. 751, 45 p. http://archive.numdam.org/item/SB_1991-1992__34__205_0/

[BN78] P. Bayer et J. Neukirch. - On Values of Zeta Functions and l-adic Euler Characteristics, Invent. Math. 50 (1978), 35-64. | MR | Zbl

[Be85] A. Beilinson. - Higher regulators and values of L-functions, J. Soviet. Math. 30 (1985), 2036-2070. | MR | Zbl

[Be87] A. Beilinson. - Height pairing between algebraic cycles, Contemporary Math. 67 (1987), 1-24. | MR | Zbl

[Be90] A. Beilinson. - Polylogarithms and cyclotomic elements, Preprint 1990.

[BGSV90] A. Beilinson, A. Goncharov, V. Schechtman and A. Varchenko. - Aomoto Dilogarithms, Mixed Hodge structures and Motivic Cohomology of Pairs of triangles on the Plane in The Grothendieck Festschrift, vol. I, Prog. in Math. 86, Birkhaüser (1990), 135-172. | MR | Zbl

[BMS87] A. Beilinson, R. Macpherson and V. Schechtman. - Notes on motivic cohomology, Duke Math. J. 54 (1987), 679-710. | MR | Zbl

[BS63] B. Birch and H. Swinnerton-Dyer. - Notes on elliptic curves I, Journal de Crelle 212 (1963), 7-25. | MR | Zbl

[BS65] B. Birch and H. Swinnerton-Dyer. - Notes on elliptic curves II, Journal de Crelle 218 (1965), 79-108. | MR | Zbl

[B180] S. Bloch. - A note on height pairings, Tamagawa numbers and Swinnerton-Dyer conjecture, Invent. Math. 58 (1980), 65-76. | MR | Zbl

[B184] S. Bloch. - Algebraic cycles and values of L-functions, Journal de Crelle 350 (1984), 94-108. | MR | Zbl

[B184b] S. Bloch. - Height pairings for algebraic cycles, Journal of Pure and Applied Algebra 34 (1984), 119-145. | MR | Zbl

[B186] S. Bloch. - Algebraic cycles and the Beilinson conjectures, Contemporary Math. 58 (1986), 65-79. | MR | Zbl

[BK90] S. Bloch et K. Kato. - L functions and Tamagawa numbers of motives, in The Grothendieck Festschrift, vol. 1, Prog. in Math. 86, Birkhaüser, Boston (1990), 333-400. | MR | Zbl

[CL88] L. Clozel. - Nombres de Tamagawa des groupes semi-simples (d'après Kottwitz), Séminaire Bourbaki, exp. 702, novembre 1988. | Numdam | Zbl

[Co89] J. Coates. - On p-adic L-functions, Séminaire Bourbaki, exp. 701, novembre 1988. | Numdam | MR | Zbl

[Co91] J. Coates. - Motivic p-adic L-functions, in L-functions and Arithmetic, Proc. of the Durham Symposium, London Math. Soc. L.N.S. 153, Cambridge University Press (1991), 141-172. | MR | Zbl

[CP89] J. Coates and B. Perrin-Riou. - On p-adic L-functions attached to motives over Q, Adv. Stud. Pure Math. 17, (1989), 23-54. | MR | Zbl

[De71] P. Deligne. - Théorie de Hodge II, Pub. Math. I.H.E.S. 40 (1971), 5-57. | Numdam | MR | Zbl

[De73] P. Deligne. - Les constantes des équations fonctionnelles des fonctions L in Modular Functions of One Variable, vol. 2, Lecture Notes in Math. 349, Springer 1973, 501-595. | MR | Zbl

[De74] P. Deligne. - Théorie de Hodge III, Pub. Math. I.H.E.S. 44 (1974), 5-77. | Numdam | MR | Zbl

[De79] P. Deligne. - Valeurs de fonctions L et périodes d'intégrales, AMS, Proc. Symp. Pure Math. 33 (1979), 313-346. | MR | Zbl

[De83] P. Deligne. - Preuve des Conjectures de Tate et de Shafarevitch (d'après G. Faltings), Séminaire Bourbaki, exp. 616, novembre 1983. | Numdam | Zbl

[De85] P. Deligne. - Lettre à C. Soulé, 1985.

[De89] P. Deligne. - Le groupe fondamental de la droite projective moins trois points in Galois Groups over Q, MSRI publications 16, Springer 1989, 79-297. | MR | Zbl

[DM82] P. Deligne and J. Milne. - Tannakian categories in Hodge Cycles, Motives and Shimura Varieties, Lecture Notes in Math. 900, Springer 1982, 101-228. | MR | Zbl

[Den91] C. Deninger. - On the Γ-factors attached to motives, Invent. Math. 104 (1991), 245-261. | Zbl

[Den92] C. Deninger. - Local L-factors of motives and regularized determinants, Invent. Math. 107 (1992), 137-150. | MR | Zbl

[DS91] C. Deninger and A. Scholl. - The Beilinson conjectures, in L- functions and Arithmetic, Proc. of the Durham Symposium, London Math. Soc. L.N.S. 153, Cambridge University Press (1991), 173-209. | MR | Zbl

[Fa89] G. Faltings. - Crystalline cohomology and p-adic Galois representations, in Algebraic analysis, geometry and number theory, Johns Hopkins University Press, Baltimore (1989), 25-80. | MR | Zbl

[Fa90] G. Faltings. - F-isocrystals on Open Varieties : Results and Conjectures, in The Grothendieck Festschrift, vol. 2, Prog. in Math. 87, Birkhaüser, Boston (1990), 219-248. | MR | Zbl

[FI90] J.-M. Fontaine et L. Illusie. - p-adic periods : a survey, prépu- blication d'Orsay, 1990.

[FM92] J.-M. Fontaine et B. Mazur. - Représentations l-adiques géométriques, in [Bures], en préparation.

[FP91] J.-M. Fontaine et B. Perrin-Riou. - Autour des conjectures de Bloch et Kato : I : Cohomologie galoisienne, II : Structures motiviques f-closes, III : Le cas général, C.R. Acad. Sci. Paris, 313, série I, 1991, 189-196, 349-356 et 421-428. | MR | Zbl

[FP92] J.-M. Fontaine et B. Perrin-Riou. - Autour des conjectures de Bloch et Kato : cohomologie galoisienne et valeurs de fonctions L, prépublication d'Orsay, 1992.

[Gr90] M. Gros. - Régulateurs syntomiques et valeurs de fonctions L p-adiques (avec un appendice de M. Kurihara : Computation of the syntomic regulator in the cyclotomic case), Invent. Math. 99 (1990), 293-320. | MR | Zbl

[Gr91] B. Gross. - Kolyvagin's work for modular elliptic curves, in L- functions and Arithmetic, London Math. Soc. L. Note Ser. vol. 153, Cambridge Univ. Press 1991, 235-256. | MR | Zbl

[Gre89] R. Greenberg. - Iwasawa theory for p-adic representations, Adv. Stud. Pure Math. 17, (1989), 97-137. | MR | Zbl

[Gre91] R. Greenberg. - Iwasawa theory for motives, in L-functions and Arithmetic, Proc. of the Durham Symposium, London Math. Soc. L.N.S. 153, Cambridge University Press (1991), 373-392. | MR | Zbl

[Ha89] G. Harder. - Arithmetische Eigenschaften von Eisenstein Klassen. die modulare Konstruktion von gemischten Motiven und von Erweiterungen endlicher Galoismoduln, Preprint 1989.

[I190] L. Illusie. - Cohomologie de de Rham et cohomologie étale p-adique, Séminaire Bourbaki, exp. 726, juin 1990. | Numdam

[Ja88] U. Jannsen. - Deligne Homology, Hodge-D-conjecture, and Motives, in [RSS88], 305-372. | MR | Zbl

[Ja89] U. Jannsen. - On the l-adic cohomology of varieties over number fields and its Galois cohomology, in Galois groups over Q, MSRI Publications vol. 16, Springer 1989. | MR | Zbl

[Ja90] U. Jannsen. - Mixed motives and algebraic K-theory, Lecture Notes in Math. 1400, Springer, Berlin (1990). | MR | Zbl

[Ka91] K. Kato. - Iwasawa theory and p-adic Hodge theory, preprint 1991. | MR

[Ko90] V. A. Kolyvagin. - Euler Systems, in the Grothendieck Festschrift, vol. II, Prog. in Math. 87, Birkhäuser (1990), 435-483. | MR | Zbl

[Li72] S. Lichtenbaum. - On the values of zeta and L-functions : I, Annals of Math. 96 (1972), 338-360. | MR | Zbl

[Li84] S. Lichtenbaum. - Values of zeta functions at non-negative integers in Number Theory, Noordwijkerhout, Lecture Notes in Math. 1068, Springer, Berlin (1984), 127-138. | MR | Zbl

[Li87] S. Lichtenbaum. - The Construction of Weight-two Arithmetic Cohomolgy, Invent. Math. 88 (1987), 183-215. | MR | Zbl

[Mi86] J. S. Milne. - Arithmetic duality theorems, Perspectives in Mathematics, vol. 1, Academic Press (1986). | MR | Zbl

[MW84] B. Mazur and A. Wiles. - Class fields of abelian extensions of Q, Invent. Math. 76 (1984), 179-330. | MR | Zbl

[Ne92] J. Nekovar. - Kolyvagin's method for Chow groups of Kuga-Sato varieties, Invent. Math. 107 (1992), 99-125. | MR | Zbl

[Ne92b] J. Nekovar. - On p-adic height pairing, Séminaire de Théorie des Nombres de Paris, à paraître. | Zbl

[Pa91] A. Panchishkin. - Non Archimedian L-Functions of Siegel and Hilbert Modular Forms, Lecture Notes in Math. 1471, Springer 1991. | MR | Zbl

[Pe89] B. Perrin-Riou. - Travaux de Kolyvagin et Rubin, Séminaire Bourbaki, exp. 717, novembre 1989. | Numdam | MR | Zbl

[Pe92] B. Perrin-Riou. - Théorie d'Iwasawa et hauteur p-adique, Invent. Math. 109 (1992), 137-185. | MR | Zbl

[Ra89] D. Ramakrishnan. - Regulators, Algebraic Cycles, and Values of L-Functions, in Algebraic K-theory and Algebraic Number Theory, Contemporary Mathematics, vol. 83, Amer. Math. Soc., Providence (1989), 183-310. | MR | Zbl

[Ra90] D. Ramakrishnan. - Problems arising from the Tate and Beilinson Conjectures in the context of Shimura Varieties, in Automorphic Forms, Shimura Varieties, and L-functions, vol. II, Perspectives in Mathematics, vol. 11, Academic Press (1990), 227-252. | MR | Zbl

[RSS88] M. Rapoport, N. Schappacher and P. Schneider (éd.). - Beilin- son's Conjectures on Special Values of L-Functions, Perspectives in Mathematics, vol. 4, Academic Press, Boston (1988). | MR | Zbl

[Ru91] K. Rubin. - The "main conjectures" of Iwasawa theory for imaginary quadratic fields, Invent. Math. 103 (1991), 25-68. | MR | Zbl

[Sc88] P. Schneider. - Introduction to the Beilinson conjectures, in [RSS88], 1-35. | MR | Zbl

[Sc89] P. Schneider. - Motivic Iwasawa theory, Adv. Stud. Pure Math. 17, (1989), 421-456. | MR | Zbl

[Sc90] A. J. Scholl. - Motives for modular forms, Invent. Math. 100 (1990), 419-430. | MR | Zbl

[Sc91] A. J. Scholl. - Remarks on special values of L-functions, in L- functions and Arithmetic, Proc. of the Durham Symposium, London Math. Soc. L.N.S. 153, Cambridge University Press (1991), 373-392. | MR | Zbl

[Se70] J.-P. Serre. - Facteurs locaux des fonctions zêta des variétés algébriques (définitions et conjectures), in Collected Papers, vol. 2, Springer Berlin (1986), 581-592. | Numdam

[ST68] J.-P. Serre and J.-P. Tate. - Good reduction of abelian varieties, Ann. of Math. 88 (1968), 492-517. | MR | Zbl

[So79] C. Soulé. - K-théorie des anneaux d'entiers de corps de nombres et cohomologie étale, Invent. Math. 55 (1979), 251-295. | MR | Zbl

[So81] C. Soulé. - On higher p-adic regulators, in Algebraic K-theory, Lecture Notes in Math. 854, Springer, Berlin (1981), 371-401. | MR | Zbl

[So83] C. Soulé. - K-théorie et zéros aux points entiers de fonctions zéta, Proc. ICM. Warszawa (1983). | MR | Zbl

[So85] C. Soulé. - Régulateurs, Séminaire Bourbaki, exp. 644, février 1985. | Numdam | MR | Zbl

[So87] C. Soulé. - p-adic K-theory of elliptic curves, Duke Math. Journal 54 (1987), 249-269. | MR | Zbl

[Ta65] J. Tate. - Algebraic cycles and poles of zeta functions, in Arithmetical Algebraic Geometry, Harper and Row, New York (1965). | MR | Zbl

[Ta66] J. Tate. - On the Conjectures of Birch and Swinnerton-Dyer and a geometric analog, Séminaire Bourbaki, exp. 306, février 1966. | Numdam | Zbl

[Ta79] J. Tate. - Number theoretic Background, in Proceedings of Symposia in Pure Mathematics, vol. 33 (1979), part 2, 3-26. | MR | Zbl

[Ta84] J. Tate. - Les Conjectures de Stark sur les Fonctions L d'Artin en s = 0, Birkhaüser, Boston (1984). | MR | Zbl

[Bures] Séminaire sur les périodes p-adiques (tenu à Bures en 1988), actes en prépartion.

[SGA4] Théorie des topos et cohomologie étale des schémas, dirigé par M. Artin, A. Grothendieck et J.-L. Verdier, Lecture Notes in Math. 269, 270 et 305, Springer, Berlin (1972-73). | MR

[SGA 1/2] Cohomologie étale, par P. Deligne, Lecture Notes in Math. 569, Springer, Berlin (1977). | MR | Zbl

[SGA5] Cohomologie l-adique et Fonctions L, dirigé par A. Grothendieck, Lecture Note in Math. 589, Springer, Berlin (1977). | MR