Endomorphism algebras of complex tori

DOI10.1007/BF01460976zbMath0858.14024OpenAlexW1987716390MaRDI QIDQ1907177

Yuri G. Zarhin, Frans Oort

Publication date: 25 March 1997

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

Full work available at URL: https://eudml.org/doc/165354

zbMATH Keywords

algebra of endomorphisms of an abelian varietynon-algebraizable complex tori

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Compact analytic spaces (32J99) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Birational geometry (14E99)

Related Items (5)

Finite linear groups, lattices, and products of elliptic curves ⋮ Invariant Brauer group of an abelian variety ⋮ Simple complex tori of algebraic dimension 0 ⋮ Complex tori ⋮ Eigenvalues of Frobenius endomorphisms of abelian varieties of low dimension

Cites Work

• Actions of semisimple Lie groups and orbits of Cartan subgroups
• On analytic families of polarized abelian varieties and automorphic functions
• On multiplication algebras of Riemann matrices
• The Sequential Design of Experiments for Infinitely Many States of Nature
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