@article{PMIHES_2001__93__107_0, author = {Coates, John and Sujatha, Ramdorai and Wintenberger, Jean-Pierre}, title = {On the {Euler-Poincar\'e} characteristics of finite dimensional $p$-adic {Galois} representations}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {107--143}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {93}, year = {2001}, mrnumber = {1863736}, language = {en}, url = {http://archive.numdam.org/item/PMIHES_2001__93__107_0/} }
TY - JOUR AU - Coates, John AU - Sujatha, Ramdorai AU - Wintenberger, Jean-Pierre TI - On the Euler-Poincaré characteristics of finite dimensional $p$-adic Galois representations JO - Publications Mathématiques de l'IHÉS PY - 2001 SP - 107 EP - 143 VL - 93 PB - Institut des Hautes Études Scientifiques UR - http://archive.numdam.org/item/PMIHES_2001__93__107_0/ LA - en ID - PMIHES_2001__93__107_0 ER -
%0 Journal Article %A Coates, John %A Sujatha, Ramdorai %A Wintenberger, Jean-Pierre %T On the Euler-Poincaré characteristics of finite dimensional $p$-adic Galois representations %J Publications Mathématiques de l'IHÉS %D 2001 %P 107-143 %V 93 %I Institut des Hautes Études Scientifiques %U http://archive.numdam.org/item/PMIHES_2001__93__107_0/ %G en %F PMIHES_2001__93__107_0
Coates, John; Sujatha, Ramdorai; Wintenberger, Jean-Pierre. On the Euler-Poincaré characteristics of finite dimensional $p$-adic Galois representations. Publications Mathématiques de l'IHÉS, Tome 93 (2001), pp. 107-143. http://archive.numdam.org/item/PMIHES_2001__93__107_0/
[1] Cohomologie cristalline des schémas de caractéristique , Lecture Notes in Math. 407, Springer, 1974. | MR | Zbl
,[2] Linear algebraic groups, second edition, Graduate Texts in Math. 126, Springer, 1991. | MR | Zbl
,[3] Groupes et algèbres de Lie, Paris, Hermann, 1975. | MR | Zbl
,[4] Cohomology theory of Lie groups and Lie algebras, Trans. Amer. Math. Soc. 63 (1948), 85-124. | MR | Zbl
, ,[5] Sur la pureté de la cohomologie cristalline, C.R. Acad. Sci. Paris 326, Série I (1998), 961-963. | MR | Zbl
, ,[6] Kummer theory for abelian varieties over local fields, Invent. Math. 124 (1996), 124-178. | MR | Zbl
, ,[7] Euler characteristics and elliptic curves II, Journal of Math. Society of Japan 53 (2001), 175-235. | MR | Zbl
, ,[8] Euler-Poincaré characteristics of abelian varieties, C.R. Acad. Sci. Paris, 329, Série I (1999), 309-313. | MR | Zbl
, ,[9] P. DELIGNE, J. S. MILNE, Tannakian Categories in: P. Deligne, J. S. Milne, A. Ogus, K. Y. Shih (ed.), Hodge cycles, motives and Shimura varieties, Lecture notes in Math. 900, Springer, 1982. | MR | Zbl
[10] Groupes algébriques, tome I, North-Holland, 1970. | Zbl
, ,[11] Endlichkeitssätze für abelsche Varietäten über Zahlkörpern, Invent. Math. 73 (1983), 349-366. | EuDML | MR | Zbl
,[12] Crystalline cohomology and p-adic Galois representations, in: Algebraic analysis, geometry, and number theory, John Hopkins Univ. Press (1988), 25-80. | MR | Zbl
,[13] Modules galoisiens, modules filtrés et anneaux de Barsotti-Tate, Astérisque 65 (1979), 3-80. | Numdam | MR | Zbl
,[14] Représentations p-adiques semistables, in: Périodes p-adiques, Astérisque 223 (1994), 113-184. | Numdam | MR | Zbl
,[15] Cycle classes and Riemann-Roch for crystalline cohomology, Duke Math. J. 55 (1987), 501-538. | MR | Zbl
, ,[16] Crystalline cohomology, in: U. Jannsen, S. Kleiman, J.-P. Serre (ed.), Motives, Proc. Symp. Pure Math. 55, Part 1 (1994), 43-70. | MR | Zbl
,[17] A remark on the rational points of abelian varieties with values in cyclotomic Zp-extensions, Proc. Japan. Acad. 51 (1971), 12-16. | MR | Zbl
,[18] Some consequences of the Riemann hypothesis for varieties over finite fields, Invent. Math. 23 (1974), 73-77. | EuDML | MR | Zbl
, ,[19] Groupes analytiques p-adiques, Publ. Math. IHES 26 (1965), 389-603. | EuDML | Numdam | MR | Zbl
,[20] Arithmetic Duality Theorems, Perspectives in Mathematics 1, Academic Press, 1986. | MR | Zbl
,[21] l- adic algebraic monodromy groups, cocharacters, and the Mumford-Tate conjecture, J. Reine Angew. Math. 495 (1998), 187-237. | MR | Zbl
,[22] Groupes de monodromie en géométrie algébrique (SGA 7), exposé I, Lecture Notes in Math. 340, Springer, 1973.
[23] Lie algebras of Galois groups arising from Hodge-Tate modules, Ann. of Math. 97 (1973), 160-170. | MR | Zbl
,[24] Sur la dimension cohomologique des groupes profinis, Topology 3 (1965), 413-420. | MR | Zbl
,[25] Abelian l-adic representations and elliptic curves, Benjamin, 1968. | MR | Zbl
,[26] Sur les groupes de congruence des variétés abéliennes II, Izv. Akad. Nauk. SSSR 35 (1971), 731-735. | MR | Zbl
,[27] Représentations l-adiques, Kyoto Int. Symposium on Algebraic Number Theory (1977), 177-193 (= Collected Works II, 264-271). | MR | Zbl
,[28] Groupes algébriques associés aux modules de Hodge-Tate, Astérisque 65 (1979), 159-188. | Numdam | MR | Zbl
,[29] Cohomologie galoisienne, 5e édition, Lecture Notes in Math. 5, Springer, 1994. | MR | Zbl
,[30] La distribution d'Euler-Poincaré d'un groupe profini, in A. J. Scholl and R. L. Taylor (ed.), Galois representations in Arithmetic Algebraic Geometry, Cambridge Univ. Press (1998), 461-493. | Zbl
,[31] Advanced topics in the arithmetic of elliptic curves, Graduate Texts in Math. 151, Springer, 1995. | MR | Zbl
,[32] Euler-Poincaré characteristics of p-adic Lie groups and arithmetic, Proceedings of the International Conference on Algebra, Arithmetic and Geometry TIFR (2000), (to appear). | MR | Zbl
,[33] Relations between K2 and Galois cohomology, Invent. Math. 36 (1976), 257-274. | EuDML | MR | Zbl
,[34] Euler characteristics for p-adic Lie groups, Publ. Math. IHES 90 (1999), 169-225. | EuDML | Numdam | MR | Zbl
,