Arithmetic of hyperelliptic curves over local fields

DOI10.1007/s00208-021-02319-yOpenAlexW4213128975MaRDI QIDQ2696234

Céline Maistret, Tim Dokchitser, Adam Morgan, Vladimir Dokchitser

Publication date: 11 April 2023

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.02936

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Special algebraic curves and curves of low genus (14H45) Curves over finite and local fields (11G20) Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) Étale and other Grothendieck topologies and (co)homologies (14F20)

Related Items (7)

Wild Galois representations: a family of hyperelliptic curves with large inertia image ⋮ On the parity conjecture for abelian surfaces ⋮ Genus two curves with full \(\sqrt{3}\)-level structure and Tate-Shafarevich groups ⋮ A user's guide to the local arithmetic of hyperelliptic curves ⋮ 2‐Selmer parity for hyperelliptic curves in quadratic extensions ⋮ Variation of Tamagawa numbers of Jacobians of hyperelliptic curves with semistable reduction ⋮ Variation of Tamagawa numbers of semistable abelian varieties in field extensions

Cites Work

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• Euler factors determine local Weil representations
• Regulator constants and the parity conjecture
• Conductor, discriminant, and the Noether formula of arithmetic surfaces
• Formelle Standardmodelle hyperelliptischer Kurven
• Rational points of the group of components of a Néron model
• The Cassels-Tate pairing on polarized Abelian varieties
• Variation of Tamagawa numbers of Jacobians of hyperelliptic curves with semistable reduction
• Good reduction of abelian varieties
• The irreducibility of the space of curves of a given genus
• Differential forms on hyperelliptic curves with semistable reduction
• COMPUTINGL-FUNCTIONS AND SEMISTABLE REDUCTION OF SUPERELLIPTIC CURVES
• Root numbers, Selmer groups, and non-commutative Iwasawa theory
• Modèles entiers des courbes hyperelliptiques sur un corps de valuation discrète
• Néron Models
• Models of hyperelliptic curves with tame potentially semistable reduction
• Explicit resolution of weak wild quotient singularities on arithmetic surfaces
• Constructing hyperelliptic curves with surjective Galois representations
• Semistable types of hyperelliptic curves
• Variation of Tamagawa numbers of semistable abelian varieties in field extensions
• Tate module and bad reduction
• Two-torsion of the Jacobian of hyperelliptic curves over finite fields
• A user's guide to the local arithmetic of hyperelliptic curves

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