On cohomology groups attached to towers of algebraic curves

Masami OHTA

doi:10.2969/jmsj/04510131

Masami OHTA

著者情報

ジャーナルフリー

1993 年 45 巻 1 号 p. 131-183

DOI https://doi.org/10.2969/jmsj/04510131

詳細

Published: 1993 Received: 1992/01/06 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 論文サブタイトル訂正内容: Wrong : To Professor Shoshichi Kobayashi on his 60th birthday

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : EGAIII) A. Grothendieck, Éléments de Géométrie Algébrique III, rédigés avec la collaboration de J. Dieudonné, Publ. Math. IHES, 11 (1961).
SGA4) Théorie des topos et cohomologie étale des shémas, Séminaire de Géométrie Algébrique du Bois Marie, 1963/1964, dir. par M. Artin, A. Grothendieck et J.L. Verdier, Lecture Notes in Math., 269, 270, 305, Springer, 1972-1973.
A) M. Artin, Grothendieck topologies, Harvard Math. Dept. Lecture Notes, 1962.
AS1) A. Ash and G. Stevens, Cohomology of arithmetic groups and congruences between systems of Hecke eigenvalues, J. Reine Angew. Math., 365 (1986), 192-220.
AS2) A. Ash and G. Stevens, Modular forms in characteristic l and special values of their L-functions, Duke Math. J., 53 (1986), 849-868.
D) P. Deligne, Formes modulaires et représentations l-adiques, Sém. Bourbaki, exp. 355, Lecture Notes in Math., 179, Springer, 1971, pp. 139-172.
F) R.H. Fox, Free differential calculus I, Ann. of Math., 57 (1953), 547-560.
Gi) J. Giraud, Cohomologie non abélienne, Springer, 1971.
Gr) A. Grothendieck, Sur quelques points d'algébre homologique, Tohoku Math. J., 9 (1957), 119-221.
H1) H. Hida, Congruences of cusp forms and special values of their zeta functions, Invent. Math., 63 (1981), 225-261.
H2) H. Hida, Galois representations into GL₂(Z_p[[X))) attached to ordinary cusp forms, Invent. Math., 85 (1986), 545-613.
I1) Y. Ihara, On Galois representations arising from towers of coverings of P¹_??_ {0, 1, ∞}, Invent. Math., 86 (1986), 427-459.
I2) Y. Ihara, Some problems on three point ramifications and associated large Galois representations, Adv. Stud. Pure Math., 12 (1987), 173-188.
M) J.S. Milne, Étale cohomology, Princeton Univ. Press, 1980.
O1) M. Ohta, On l-adic representations attached to automorphic forms, Japan. J. Math., 8 (1982), 1-47.
O2) M. Ohta, On the zeta function of an abelian scheme over the Shimura curve, Japan. J. Math., 9 (1983), 1-25.
Se1) J.-P. Serre, Corps locaux, Hermann, 1962.
Se2) J.-P. Serre, Cohomologie galoisienne, Lecture Notes in Math., 5, Springer, 1964.
Se3) J.-P. Serre, Sur les groupes de congruence des variétés abéliennes, Inv. Akad. Nauk. SSSR, 28 (1964), 3-18.
Sh1) G. Shimura, Introduction to the arithmetic theory of automorphic functions, Iwanami Shoten and Princeton Univ. Press, 1971.
Sh2) G. Shimura, An l-adic method in the theory of automorphic forms, preprint, 1968.

Right : [EGAIII] A. Grothendieck, Éléments de Géométrie Algébrique III, rédigés avec la collaboration de J. Dieudonné, Publ. Math. IHES, 11 (1961).
[SGA4] Théorie des topos et cohomologie étale des shémas, Séminaire de Géométrie Algébrique du Bois Marie, 1963/1964, dir. par M. Artin, A. Grothendieck et J. L. Verdier, Lecture Notes in Math., 269, 270, 305, Springer, 1972-1973.
[A] M. Artin, Grothendieck topologies, Harvard Math. Dept. Lecture Notes, 1962.
[AS1] A. Ash and G. Stevens, Cohomology of arithmetic groups and congruences between systems of Hecke eigenvalues, J. Reine Angew. Math., 365 (1986), 192-220.
[AS2] A. Ash and G. Stevens, Modular forms in characteristic l and special values of their L-functions, Duke Math. J., 53 (1986), 849-868.
[D] P. Deligne, Formes modulaires et représentations l-adiques, Sém. Bourbaki, exp. 355, Lecture Notes in Math., 179, Springer, 1971, pp. 139-172.
[F] R. H. Fox, Free differential calculus I, Ann. of Math., 57 (1953), 547-560.
[Gi] J. Giraud, Cohomologie non abélienne, Springer, 1971.
[Gr] A. Grothendieck, Sur quelques points d'algèbre homologique, Tôhoku Math. J., 9 (1957), 119-221.
[H1] H. Hida, Congruences of cusp forms and special values of their zeta functions, Invent. Math., 63 (1981), 225-261.
[H2] H. Hida, Galois representations into GL₂(Z_p[[X]]) attached to ordinary cusp forms, Invent. Math., 85 (1986), 545-613.
[I1] Y. Ihara, On Galois representations arising from towers of coverings of P¹_??_{0, 1, ∞}, Invent. Math., 86 (1986), 427-459.
[I2] Y. Ihara, Some problems on three point ramifications and associated large Galois representations, Adv. Stud. Pure Math., 12 (1987), 173-188.
[M] J. S. Milne, Étale cohomology, Princeton Univ. Press, 1980.
[O1] M. Ohta, On l-adic representations attached to automorphic forms, Japan. J. Math., 8 (1982), 1-47.
[O2] M. Ohta, On the zeta function of an abelian scheme over the Shimura curve, Japan. J. Math., 9 (1983), 1-25.
[Se1] J. -P. Serre, Corps locaux, Hermann, 1962.
[Se2] J. -P. Serre, Cohomologie galoisienne, Lecture Notes in Math., 5, Springer, 1964.
[Se3] J. -P. Serre, Sur les groupes de congruence des variétés abéliennes, Inv. Akad. Nauk. SSSR, 28 (1964), 3-18.
[Sh1] G. Shimura, Introduction to the arithmetic theory of automorphic functions, Iwanami Shoten and Princeton Univ. Press, 1971.
[Sh2] G. Shimura, An l-adic method in the theory of automorphic forms, preprint, 1968.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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