On the continuity of the finite Bloch-Kato cohomology
Rendiconti del Seminario Matematico della Università di Padova, Tome 134 (2015), pp. 239-272.
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Iovita, Adrian; Marmora, Adriano. On the continuity of the finite Bloch-Kato cohomology. Rendiconti del Seminario Matematico della Università di Padova, Tome 134 (2015), pp. 239-272. http://archive.numdam.org/item/RSMUP_2015__134__239_0/

[1] S. BlochK. Kato, L -functions and Tamagawa numbers of motives, in: The Grothendieck Festschrift, Vol. I, Progr. Math. 86, Birkhäuser, Boston 1990, P. Cartier, et al., eds., pp. 333–400. | MR | Zbl

[2] C. Breuil, Représentations p -adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, 1997, pp. 191–224. | MR | Zbl

[3] C. Breuil, Constructions de représentations p -adiques semistables, Ann. sci. E.N.S. 4 e série, tome 31, n. 3, 1998, pp. 281–327. | Numdam | MR | Zbl

[4] C. Breuil, Représentations semi-stables et modules fortement divisibles, Invent. Math., 136, 1999, pp. 89–122. | MR | Zbl

[5] C. Breuil, Integral p -adic Hodge theory, Advanced Studies in Pure Math., 36, 2002, pp. 51–80. | MR | Zbl

[6] C. BreuilW. Messing, Torsion étale and crystalline cohomologies, in: Cohomologies p -adiques et applications arithmétiques (II)b Astérisque, 279, Soc. Math. de France, Paris 2002, pp. 81–124. | Numdam | MR | Zbl

[7] X. CarusoT. Liu, Quasi-semi-stable representations, Bull. Soc. Math. France, 137, 2009, n. 2, pp. 185–223. | Numdam | MR | Zbl

[8] X. Caruso, Représentations semi-stables de torsion dans le cas er<p-1 , J. reine angew. Math., 594, 2006, pp. 35–92. | MR | Zbl

[9] J. CoatesR. Greenberg, Kummer theory for abelian varieties over local fields, Invent. Math., 124, 1996, pp. 129–174. | MR | Zbl

[10] G. Faltings, Integral crystalline cohomology over very ramified valuation rings, J.A.M.S., Volume 12, n. 1, 1999, pp. 117–144. | MR | Zbl

[11] J.-M. Fontaine, Le corps de périodes p -adiques, avec une appendice par Pierre Colmez, in: Périodes p -adiques, Astérisque, 223, Soc. Math. de France, Paris 1994, pp. 59–111. | Numdam | MR | Zbl

[12] J.-M. FontaineG. Lafaille, Construction de représentations p -adiques, Ann. sci. E.N.S. 4ème série, tome 15, n. 4, 1982, pp. 547–608. | Numdam | MR | Zbl

[13] R. GreenbergA. IovitaR. Pollack, On Iwasawa Invariants of Elliptic Curves at Supersingular Primes, preprint.

[14] R. GreenbergV. Vatsal, On the Iwasawa invariants of elliptic curves, Invent. Math., 142, 2000, pp. 17–63. | MR | Zbl

[15] K. Kato, Semi-stable reduction and p -adic étale cohomology, in: Périodes p -adiques, Astérisque, 223, Soc. Math. de France, Paris 1994, pp. 269–293. | Numdam | MR | Zbl

[16] M. Kisin, Crystalline representations and F -crystals, in Algebraic Geometry and Number Theory, Drinfeld 50th Birthday volume, Progress in mathematics, vol. 253, Birkhäuser, Boston, MA, 2006, pp. 459–496. | MR | Zbl

[17] T. Liu, On lattices in semi-stable representations: a proof of a conjecture of Breuil, Comp. Math., 144, 2008, pp. 61–88. | MR | Zbl

[18] J. Nekovar, Level raising and Selmer groups for Hilbert modular forms of weight two, to appear in Canadian J. Math. (published online), 81 pages. | MR | Zbl

[19] S. Sen, Continuous Cohomology and p -adic Galois Representations, Invent. Math., 62, 1980, pp. 89–116. | MR | Zbl

[20] J.-P. Serre, Corps Locaux, Quatrième édition corrigée, Hermann, Paris. | MR

[21] N. Wach, Représentations cristallines de torsion, Comp. Math., 108, 2, 1997, pp. 185–240. | MR | Zbl