Endomorphism fields of abelian varieties

DOI10.1007/s40993-017-0088-4zbMath1441.11154arXiv1606.02803OpenAlexW2963065467MaRDI QIDQ680053

Robert M. Guralnick, Kiran S. Kedlaya

Publication date: 22 January 2018

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

Full work available at URL: https://arxiv.org/abs/1606.02803

zbMATH Keywords

abelian varietiesendomorphismMinkowski's reduction method

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Algebraic theory of abelian varieties (14K05)

Related Items (5)

Sato–Tate groups of abelian threefolds: a preview of the classification ⋮ Variétés abéliennes CM et grosse monodromie finie sauvage ⋮ Fields of definition of elliptic $k$-curves and the realizability of all genus 2 Sato–Tate groups over a number field ⋮ Typically bounding torsion ⋮ Restrictions on endomorphism rings of Jacobians and their minimal fields of definition

Cites Work

• Twists of \(X(7)\) and primitive solutions to \(x^2+y^3=z^7\)
• Fields of definition for homomorphisms of abelian varieties
• Degree of definition of endomorphisms of an abelian variety
• Sato–Tate distributions and Galois endomorphism modules in genus 2
• Bounds for the orders of the finite subgroups of G(k)
• Finite Symplectic Matrix Groups
• An algebraic Sato-Tate group and Sato-Tate conjecture
• Unnamed Item

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