The Hodge conjecture for self-products of certain \(K3\) surfaces

DOI10.1016/j.jalgebra.2010.04.010zbMath1197.14038arXiv0907.2503OpenAlexW1986430880WikidataQ123284944 ScholiaQ123284944MaRDI QIDQ986527

Ulrich Schlickewei

Publication date: 11 August 2010

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

Full work available at URL: https://arxiv.org/abs/0907.2503

zbMATH Keywords

\(K3\) surfacesHodge conjecturereal multiplicationKuga-Satake varieties

Mathematics Subject Classification ID

Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20)

Related Items (5)

Explicit coverings of families of elliptic surfaces by squares of curves ⋮ Hodge similarities, algebraic classes, and Kuga-Satake varieties ⋮ On the component group of the algebraic monodromy group of a \(K3\) surface ⋮ Motives of isogenous \(K3\) surfaces ⋮ Hyper-Kähler manifolds of generalized Kummer type and the Kuga-Satake correspondence

Cites Work

• On the Hodge conjecture for products of certain surfaces
• On the corestriction of central simple algebras
• Quaternionic Pryms and Hodge classes
• Theta functions and cycles on some abelian fourfolds
• Real multiplication on \(K3\) surfaces and Kuga-Satake varieties
• Abelian varieties attached to polarized \(K_3\)-surfaces
• ABELIAN VARIETIES OF TYPE III AND THE HODGE CONJECTURE
• ON CORRESPONDENCES BETWEEN K3 SURFACES
• THE MONODROMY OF THE PERIOD MAP OF A 4-PARAMETER FAMILY OF K3 SURFACES AND THE HYPERGEOMETRIC FUNCTION OF TYPE (3, 6)
• Néron Models
• A Survey of the Hodge Conjecture
• Hodge groups of K3 surfaces.
• Abelian varieties of Weil type and Kuga-Satake varieties
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