Simplicity of twists of abelian varieties

DOI10.4064/aa171-1-2zbMath1384.11073arXiv1312.3187OpenAlexW3099766619MaRDI QIDQ2948198

Alex Bartel

Publication date: 29 September 2015

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.3187

zbMATH Keywords

Galois cohomologyabelian varietiesendomorphism ringArtin representations

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Algebraic theory of abelian varieties (14K05) Galois cohomology (11R34)

Cites Work

• Unnamed Item
• The arithmetic of QM-abelian surfaces through their Galois representations
• Fields of definition for homomorphisms of abelian varieties
• Endomorphisms of semi-stable Abelian varieties over number fields
• Twisting commutative algebraic groups
• Sato–Tate distributions and Galois endomorphism modules in genus 2
• Zero Divisors in Tensor Products of Division Algebras

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