Inertia groups and abelian surfaces

DOI10.1016/j.jnt.2004.05.015zbMath1077.11047OpenAlexW1975545884MaRDI QIDQ1767664

Alice Silverberg, Yuri G. Zarhin

Publication date: 8 March 2005

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.05.015

zbMATH Keywords

Abelian varietiesInertia groupsSemistable reduction

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Algebraic moduli of abelian varieties, classification (14K10)

Related Items

Wild monodromy and automorphisms of curves ⋮ Variétés abéliennes CM et grosse monodromie finie sauvage ⋮ Root numbers of 5-adic curves of genus two having maximal ramification ⋮ On the local-global principle for isogenies of abelian surfaces ⋮ Constructing hyperelliptic curves with surjective Galois representations

Uses Software

• GAP

Cites Work

• On the failure of semistability of elliptic curves with additive reduction
• Fields of definition for homomorphisms of abelian varieties
• Subgroups of inertia groups arising from Abelian varieties
• Stable genus 2 curves and their moduli scheme
• Good reduction of abelian varieties
• Sur la rationalité des représentations d'Artin
• Galois properties of points of finite order of elliptic curves
• Arithmetic variety of moduli for genus two
• Über die Idealklassenzahl hyperkomplexer Systeme
• Über die Galoissche Gruppe der algebraischen Abschließung eines Potenzreihenkörpers mit endlichem Konstantenkörper
• Symplectic representations of inertia groups.
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