Fixed-point free automorphisms of abelian varieties

DOI10.1007/BF01263993zbMath0840.14028MaRDI QIDQ1336245

Herbert Lange, Christina Birkenhake

Publication date: 7 November 1994

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

Shimura varietiesfixed-point-free automorphismendomorphism ring of an abelian varietynumber of fixed-points of an automorphism

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Modular and Shimura varieties (14G35) Automorphisms of curves (14H37) Algebraic theory of abelian varieties (14K05) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items (6)

Right distributive quasigroups on algebraic varieties ⋮ Fixed points of endomorphisms on two-dimensional complex tori ⋮ Fixed points of endomorphisms of complex tori ⋮ Fixed points and entropy of endomorphisms on simple abelian varieties ⋮ Calabi-Yau three-folds and moduli of abelian surfaces II ⋮ Dynamical degrees of automorphisms on abelian varieties

Cites Work

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• Arithmétique des algèbres de quaternions
• Right distributive quasigroups on algebraic varieties
• Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
• Some Basic Theorems on Algebraic Groups
• Factor Sets and Differentials on Abelian Varieties
• Elliptic Curves

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