On Iwasawa theory of crystalline representations

DOI10.1215/S0012-7094-00-10422-XzbMath0996.11072OpenAlexW2056312346WikidataQ105540864 ScholiaQ105540864MaRDI QIDQ1580257

Denis Benois

Publication date: 2 November 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-00-10422-x

zbMATH Keywords

Galois cohomologyIwasawa theorycrystalline representationsintegral representations of local fields of characteristic \(0\)Kummer's homomorphismPerrin-Riou reciprocity law

Mathematics Subject Classification ID

Galois cohomology (11S25) Iwasawa theory (11R23) Ramification and extension theory (11S15)

Related Items

An Introduction to p-Adic Hodge Theory, An analogue of the field-of-norms functor and of the Grothendieck conjecture, A generalization of Kato's local \(\varepsilon\)-conjecture for \((\varphi,\Gamma)\)-modules over the Robba ring, Iwasawa theory and p-adic L-functions over ${\mathbb Z}_{p}^{2}$-extensions, On the rank-part of the Mazur-Tate refined conjecture for higher weight modular forms, Compairing categories of Lubin-Tate \((\varphi_L,\Gamma_L)\)-modules, On extra zeros of 𝑝-adic Rankin–Selberg 𝐿-functions, Iwasawa theory of de Rham -modules over the Robba ring, Trivial zeros of -adic -functions at near-central points, An explicit formula for the Hilbert symbol of a formal group, Explicit reciprocity law for Lubin-Tate formal groups, Stark units and the main conjectures for totally real fields, Conjecture a and \(\mu\)-invariant for Selmer groups of supersingular elliptic curves, COHOMOLOGY AND OVERCONVERGENCE FOR REPRESENTATIONS OF POWERS OF GALOIS GROUPS, Local epsilon isomorphisms, On Extra Zeros of p-Adic L-Functions: The Crystalline Case, Coates–Wiles Homomorphisms and Iwasawa Cohomology for Lubin–Tate Extensions

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