Twists of central simple algebras and endomorphism algebras of some abelian varieties

DOI10.1007/BF01456990zbMath0596.14034MaRDI QIDQ1078279

Wen-Chen Chi

Publication date: 1987

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164225

zbMATH Keywords

action of Galois groupendomorphism algebra of an abelian varietytwists of central simple algebras

Mathematics Subject Classification ID

Galois theory (11R32) Group actions on varieties or schemes (quotients) (14L30) Brauer groups of schemes (14F22) Algebraic theory of abelian varieties (14K05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (6)

Twists of matrix algebras and Brauer groups ⋮ Twists of matrix algebras and some subgroups of Brauer groups ⋮ Twists of matrix algebras and some subgroups of Brauer groups II ⋮ \(\mathbb Q\)-motives and modular forms ⋮ MODULARITY CONJECTURE FOR Q-CURVES AND QM-CURVES ⋮ Groups of continuous characters and brauer groups

Cites Work

• Finiteness theorems for abelian varieties over number fields.
• Théoremes de finitude en cohomologie galoisienne
• Good reduction of abelian varieties
• Galois Action on Division Points of Abelian Varieties with Real Multiplications
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