Exceptional Hodge classes on certain abelian varieties

DOI10.1007/BF01456085zbMath0521.14004OpenAlexW2087074089MaRDI QIDQ1055498

V. Kumar Murty

Publication date: 1984

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182914

zbMATH Keywords

Hodge conjectureHodge ringexceptional Hodge classHodge group of abelian variety

Mathematics Subject Classification ID

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

Related Items

Unnamed Item, Hodge Structures Associated toSU(p, 1), Hodge classes and Tate classes on simple abelian fourfolds, Algebraic and Arithmetic Properties of Period Maps, On the \(\ell\)-adic Galois representations attached to nonsimple abelian varieties, The Hodge Group of an Abelian Variety, Families of motives and the Mumford-Tate conjecture, Sato-Tate distributions of Catalan curves, Tate twists of Hodge structures arising from abelian varieties of type IV, Torsion for abelian varieties of type III, Unnamed Item, Lefschetz classes on abelian varieties, ABELIAN VARIETIES OF TYPE III AND THE HODGE CONJECTURE, Decomposition of abelian motives, On the image of Galois \(l\)-adic representations for abelian varieties of type III, Unnamed Item, Generic cycles, Lefschetz representations, and the generalized Hodge and Bloch conjectures for Abelian varieties, On certain complex projective manifolds with Hodge numbers \(h^{10}=4\) and \(h^{20}=5\), Remark on nondegeneracy of simple abelian varieties with many endomorphisms, Overview of the Work of Kumar Murty

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Algebraic cycles of abelian varieties
• Algebraic cycles on Abelian varieties with many real endomorphisms
• On analytic families of polarized abelian varieties and automorphic functions
• Algebraic cycles on abelian varieties of complex multiplication type
• ON ALGEBRAIC CYCLES ON SURFACES AND ABELIAN VARIETIES
• Hodge Classes on Certain Types of Abelian Varieties