Tate module and bad reduction

DOI10.1090/proc/15067zbMath1479.11105arXiv1809.10208OpenAlexW3011599494MaRDI QIDQ5858366

Tim Dokchitser, Adam Morgan, Vladimir Dokchitser

Publication date: 13 April 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.10208

zbMATH Keywords

Tate modulesemistable reductionsemilinear action

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Curves over finite and local fields (11G20) Étale and other Grothendieck topologies and (co)homologies (14F20) Varieties over finite and local fields (11G25) Elliptic curves over local fields (11G07)

Related Items (6)

Wild Galois representations: a family of hyperelliptic curves with large inertia image ⋮ Galois representations of superelliptic curves ⋮ A user's guide to the local arithmetic of hyperelliptic curves ⋮ Arithmetic of hyperelliptic curves over local fields ⋮ 3-torsion and conductor of genus 2 curves ⋮ Root number of the Jacobian of \(y^2 = x^p+a\)

Cites Work

• Unnamed Item
• Good reduction of abelian varieties
• The irreducibility of the space of curves of a given genus
• Néron models of algebraic curves
• Non-archimedean uniformization and monodromy pairing
• COMPUTINGL-FUNCTIONS AND SEMISTABLE REDUCTION OF SUPERELLIPTIC CURVES
• Root numbers, Selmer groups, and non-commutative Iwasawa theory
• Néron Models
• Quotients of hyperelliptic curves and Étale cohomology

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