Computing endomorphism rings of abelian varieties of dimension two

DOI10.1090/S0025-5718-2015-02938-XzbMath1315.11102arXiv1209.1189OpenAlexW2962745870MaRDI QIDQ5246850

Gaetan Bisson

Publication date: 22 April 2015

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

Full work available at URL: https://arxiv.org/abs/1209.1189

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Algebraic number theory computations (11Y40) Arithmetic ground fields for abelian varieties (14K15)

Related Items (8)

Integral Frobenius for Abelian Varieties with Real Multiplication ⋮ Frobenius finds non-monogenic division fields of abelian varieties ⋮ Computing the endomorphism ring of an ordinary abelian surface over a finite field ⋮ On the computation of overorders ⋮ Constructing Picard curves with complex multiplication using the Chinese remainder theorem ⋮ On the computation of the endomorphism rings of abelian surfaces ⋮ Isogeny graphs of ordinary abelian varieties ⋮ Isogeny graphs with maximal real multiplication

Uses Software

• Magma
• AVIsogenies

Cites Work

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