The Kuga-Satake variety of an abelian surface

DOI10.1016/0021-8693(85)90134-6zbMath0559.14031OpenAlexW2002497936MaRDI QIDQ802624

David R. Morrison

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90134-6

zbMATH Keywords

Picard numberNéron-Severi groupcomplex torusabelian surfaceendomorphism ringhigher cohomology groupsKuga- Satake variety

Mathematics Subject Classification ID

Picard schemes, higher Jacobians (14K30) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items

Derived categories and Kummer varieties, For an unconditional theory of motives, Arithmetical Torelli theorems for K3 surfaces and for curves, On the Shafarevich and Tate conjectures for hyperkähler varieties, K3 surfaces with algebraic period ratios have complex multiplication, Sixfolds of generalized Kummer type and K3 surfaces, Geometries, non-geometries, and fluxes, Variations on a Theorem of Tate, Kuga-Satake abelian varieties of K3 surfaces in mixed characteristic, Unnamed Item, Abelian surfaces over totally real fields are potentially modular, Unnamed Item, Hyper-Kähler manifolds of generalized Kummer type and the Kuga-Satake correspondence, Footnotes to papers of O'Grady and Markman, Two results on the Hodge structure of complex tori

Cites Work

• A note on the Tate conjecture for K3 surfaces
• On K3 surfaces with large Picard number
• La conjecture de Weil pour les surfaces K3
• Abelian varieties attached to polarized \(K_3\)-surfaces
• Les extensions quadratiques des corps non commutatifs et leurs applications
• Clifford Algebras and Families of Abelian Varieties
• Varieties Defined by Quadratic Equations
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