Arithmetic of division fields

DOI10.1090/S0002-9939-2012-11500-XzbMath1301.11053arXiv1102.4557OpenAlexW2169904764MaRDI QIDQ2845722

Armand Brumer, Kenneth Kramer

Publication date: 3 September 2013

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

Full work available at URL: https://arxiv.org/abs/1102.4557

zbMATH Keywords

bounded ramificationtransvectionsemistable Galois representationstem field discriminant

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Algebraic number theory computations (11Y40) Galois representations (11F80) Ramification and extension theory (11S15)

Related Items (3)

Certain abelian varieties bad at only one prime ⋮ Frobenius finds non-monogenic division fields of abelian varieties ⋮ Paramodular abelian varieties of odd conductor

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Galois number fields with small root discriminant
• There are no abelian varieties over \(\mathbb Z\).
• Lower bounds for discriminants of number fields. II
• Interrelations of symplectic and orthogonal groups in characteristic two
• The Magma algebra system. I: The user language
• The finite irreducible linear groups with polynomial ring of invariants
• Abelian varieties over cyclotomic fields with good reduction everywhere
• A database of local fields
• Some subgroups of \(SI_ n(F_2)\)
• Wild ramification bounds and simple group Galois extensions ramified only at $2$
• Subgroups of Classical Groups Generated by Long Root Elements
• Paramodular abelian varieties of odd conductor
• Endliche Gruppen I
• Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results

This page was built for publication: Arithmetic of division fields