Hodge structures on abelian varieties of CM-type

DOI10.1515/crll.2001.034zbMath0987.14006OpenAlexW2045888936MaRDI QIDQ2717075

Salman Abdulali

Publication date: 13 June 2001

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2001.034

zbMATH Keywords

abelian variety of CM-typegeneral Hodge conjecture

Mathematics Subject Classification ID

Variation of Hodge structures (algebro-geometric aspects) (14D07) Complex multiplication and abelian varieties (14K22) Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Cites Work

• Some rationality questions on algebraic groups
• Algebraic cycles on abelian varieties of complex multiplication type
• On canonical models of arithmetic quotients of bounded symmetric domains
• Division fields of abelian varieties with complex multiplication

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