Hodge Structures Associated toSU(p, 1)

DOI10.1080/00927872.2014.940526zbMath1329.14026arXiv1203.4016OpenAlexW3100794307MaRDI QIDQ3448291

Salman Abdulali

Publication date: 23 October 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.4016

zbMATH Keywords

abelian varietyHodge structureTate twistKuga fiber variety

Mathematics Subject Classification ID

Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Cites Work

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• Tate twists of Hodge structures arising from abelian varieties of type IV
• Some rationality questions on algebraic groups
• Exceptional Hodge classes on certain abelian varieties
• Conjugates of strongly equivariant maps
• Hodge structures on abelian varieties of type IV
• Hodge structures on abelian varieties of type III.
• Lefschetz classes on abelian varieties
• On analytic families of polarized abelian varieties and automorphic functions
• Symplectic representations of algebraic groups satisfying a certain analyticity condition
• Hodge's general conjecture is false for trivial reasons
• On the field of definition for a field of automorphic functions
• ABELIAN VARIETIES OF TYPE III AND THE HODGE CONJECTURE
• On the Hodge groups of some abelian varieties
• Holomorphic Imbeddings of Symmetric Domains into a Siegel Space

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