Local epsilon isomorphisms

DOI10.1215/21562261-2848124zbMath1322.11112arXiv1303.1785OpenAlexW2066392581WikidataQ115288119 ScholiaQ115288119MaRDI QIDQ2342116

Otmar Venjakob, Sarah Livia Zerbes, David Loeffler

Publication date: 8 May 2015

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.1785

zbMATH Keywords

Iwasawa theorycrystalline representationregulator maplocal epsilon isomorphisms

Mathematics Subject Classification ID

Iwasawa theory (11R23) Zeta functions and (L)-functions (11S40)

Related Items (10)

Kato's local \(\varepsilon\)-conjecture in dimension 2 ⋮ Equivariant epsilon conjecture for 1-dimensional Lubin-Tate groups ⋮ A generalization of Kato's local \(\varepsilon\)-conjecture for \((\varphi,\Gamma)\)-modules over the Robba ring ⋮ Compairing categories of Lubin-Tate \((\varphi_L,\Gamma_L)\)-modules ⋮ Derivatives of Beilinson-Flach classes, Gross-Stark formulas and a \(p\)-adic Harris-Venkatesh conjecture ⋮ Anticyclotomic Iwasawa theory of abelian varieties of \(\mathrm{GL}_2\)-type at non-ordinary primes ⋮ Anticyclotomic \(p\)-ordinary Iwasawa theory of elliptic modular forms ⋮ Euler systems with local conditions ⋮ Wach Modules, Regulator Maps, and $\varepsilon$-Isomorphisms in Families ⋮ Exceptional zero formulae and a conjecture of Perrin-Riou

Cites Work

• Unnamed Item
• Unnamed Item
• Coleman maps and the \(p\)-adic regulator
• Iwasawa theory of crystalline representations. II.
• Iwasawa theory and \(p\)-adic heights
• Iwasawa theory of de Rham representations of a local field
• Iwasawa theory of \(p\)-adic representations over a local field
• Determinant functors on exact categories and their extensions to categories of bounded complexes
• Algebras of \(p\)-adic distributions and admissible representations
• Bloch and Kato's exponential map: three explicit formulas
• On Iwasawa theory of crystalline representations
• The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication
• A generalization of Kato's local \(\varepsilon\)-conjecture for \((\varphi,\Gamma)\)-modules over the Robba ring
• Wach modules and Iwasawa theory for modular forms
• On Kato's local \(\varepsilon\)-isomorphism conjecture for rank-one Iwasawa modules
• Les zéros des fonctions analytiques d'une variable sur un corps valué complet
• Iwasawa theory and p-adic L-functions over ${\mathbb Z}_{p}^{2}$-extensions
• Determinant functors on triangulated categories
• Limites de représentations cristallines

This page was built for publication: Local epsilon isomorphisms