On the Euler-Poincaré characteristics of finite dimensional \(p\)-adic Galois representations.

DOI10.1007/s10240-001-8189-xzbMath1143.11021OpenAlexW2089363159WikidataQ102356137 ScholiaQ102356137MaRDI QIDQ1860719

R. Sujatha, Jean-Pierre Wintenberger, John H. Coates

Publication date: 20 March 2003

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_2001__93__107_0

zbMATH Keywords

elliptic curvesétale cohomologyGalois representationsmotivic Galois representationsvarieties over local ground fields

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Local ground fields in algebraic geometry (14G20) (p)-adic theory, local fields (11F85) Galois representations (11F80) Motivic cohomology; motivic homotopy theory (14F42) Elliptic curves over local fields (11G07)

Related Items (12)

On order of vanishing of characteristic elements ⋮ Analogue of Kida's formula for certain strongly admissible extensions ⋮ Structure of fine Selmer groups in abelian \(p\)-adic Lie extensions ⋮ Structure of fine Selmer groups over -extensions ⋮ A generalization of a theorem of Imai and its applications to Iwasawa theory ⋮ On Selmer groups in the supersingular reduction case ⋮ Root numbers, Selmer groups, and non-commutative Iwasawa theory ⋮ Geometric deformations of modular Galois representations ⋮ Fine Selmer groups of elliptic curves over \(p\)-adic Lie extensions ⋮ Arithmetic properties encoded in the Galois module structure of \(K^\times / K^{\times p^m}\) ⋮ Torsion of abelian varieties and Lubin-Tate extensions ⋮ On the cohomological coprimality of Galois representations associated with elliptic curves

This page was built for publication: On the Euler-Poincaré characteristics of finite dimensional \(p\)-adic Galois representations.