The index of degeneracy of a CM abelian variety can be arbitrarily large

DOI10.4064/aa210515-18-8zbMath1502.11067OpenAlexW4206822227MaRDI QIDQ5065967

Masanari Kida, Hiromichi Yanai

Publication date: 23 March 2022

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

Full work available at URL: https://doi.org/10.4064/aa210515-18-8

zbMATH Keywords

Hodge conjectureCM-typeCM abelian varietyexceptional cycleindex of degeneracy

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Complex multiplication and abelian varieties (14K22)

Related Items

On nondegenerate CM-types

Cites Work

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• Algebraic cycles on abelian varieties of complex multiplication type
• Branching Rules and Hodge Cycles on Certain Abelian Varieties
• Division fields of abelian varieties with complex multiplication
• CM-types with large index of degeneracy
• On the index of degeneracy of a CM abelian variety