Branching Rules and Hodge Cycles on Certain Abelian Varieties

DOI10.2307/2374501zbMath0654.14005OpenAlexW2314902012MaRDI QIDQ3800177

Fumio Hazama

Publication date: 1988

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374501

zbMATH Keywords

Hodge conjecture10- dimensional abelian varietiesbranching rules for representations of sl(N)Hodge group action

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Ramification problems in algebraic geometry (14E22) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Abelian varieties and schemes (14K99)

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The index of degeneracy of a CM abelian variety can be arbitrarily large ⋮ CM-types with large index of degeneracy

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