ABELIAN VARIETIES OF TYPE III AND THE HODGE CONJECTURE

DOI10.1142/S0129167X99000264zbMath1064.14501WikidataQ123167888 ScholiaQ123167888MaRDI QIDQ2728468

Salman Abdulali

Publication date: 1 August 2001

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

Mathematics Subject Classification ID

Arithmetic ground fields for abelian varieties (14K15) Subvarieties of abelian varieties (14K12) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (5)

Hodge Structures Associated toSU(p, 1) ⋮ Tate twists of Hodge structures arising from abelian varieties of type IV ⋮ The Hodge conjecture for self-products of certain \(K3\) surfaces ⋮ Cylindrical homomorphisms and Lawson homology ⋮ On certain complex projective manifolds with Hodge numbers \(h^{10}=4\) and \(h^{20}=5\)

Cites Work

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• Exceptional Hodge classes on certain abelian varieties
• Hodge classes and Tate classes on simple abelian fourfolds
• Theta functions and cycles on some abelian fourfolds
• On analytic families of polarized abelian varieties and automorphic functions
• On the field of definition for a field of automorphic functions
• Hodge Classes on Certain Types of Abelian Varieties
• Algebraic Cycles in Families of Abelian Varieties
• Weil classes on abelian varieties

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