On the Hodge conjecture for products of certain surfaces
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Publication:848653
DOI10.1007/BF03191179zbMath1188.14004arXivmath/0505357WikidataQ123247585 ScholiaQ123247585MaRDI QIDQ848653
Publication date: 4 March 2010
Published in: Collectanea Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0505357
Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Abelian varieties and schemes (14K99)
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Cites Work
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- Algebraic cycles on nonsimple abelian varieties
- Motives, numerical equivalence, and semi-simplicity
- The Picard group of a quasi-bundle
- Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
- Algebraic cycles and Hodge theory. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Torino, Italy, June 21-29, 1993
- For an unconditional theory of motives
- On K3 surfaces with large Picard number
- Hodge classes and Tate classes on simple abelian fourfolds
- Hodge classes on abelian varieties of low dimension
- Real multiplication on \(K3\) surfaces and Kuga-Satake varieties
- On analytic families of polarized abelian varieties and automorphic functions
- La conjecture de Weil pour les surfaces K3
- On the heat equation and the index theorem
- On the motive of an algebraic surface.
- Hodge Classes on Certain Types of Abelian Varieties
- Weil classes on abelian varieties
- Hodge groups of K3 surfaces.
- Über die Struktur der Funktionenkörper zu hyperabelschen Gruppen. I.
