IRREDUCIBLE SYMPLECTIC 4-FOLDS NUMERICALLY EQUIVALENT TO (K3)[2]

DOI10.1142/S0219199708002909zbMath1216.14040arXivmath/0504434OpenAlexW2141073650WikidataQ60141293 ScholiaQ60141293MaRDI QIDQ3526531

Kieran G. O'Grady

Publication date: 25 September 2008

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504434

zbMATH Keywords

linear systemholomorphic symplectic 4-fold

Mathematics Subject Classification ID

(4)-folds (14J35) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Compact complex (n)-folds (32J18) Families, moduli, classification: algebraic theory (14J10)

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Cites Work

• Involutions and linear systems on holomorphic symplectic manifolds
• Galois groups of enumerative problems
• On the variety of linear spaces contained in a complete intersection
• Compact hyperkähler manifolds: Basic results
• On the Betti numbers of irreducible compact hyperkähler manifolds of complex dimension four
• Cohomology of compact hyperkähler manifolds and its applications
• Weakly defective varieties
• On the Structure of Compact Complex Analytic Surfaces, I