Double covers of EPW-sextics

DOI10.1307/mmj/1363958245zbMath1276.14008arXiv1007.4952OpenAlexW2109260944WikidataQ60141287 ScholiaQ60141287MaRDI QIDQ1951497

Kieran G. O'Grady

Publication date: 6 June 2013

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.4952

zbMATH Keywords

degenerationdouble coversLagrangian subspaceshyperkählersexticscomplete moduliprojective fourfold

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) (4)-folds (14J35) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (16)

KODAIRA DIMENSION OF UNIVERSAL HOLOMORPHIC SYMPLECTIC VARIETIES ⋮ Gushel-Mukai varieties with many symmetries and an explicit irrational Gushel-Mukai threefold ⋮ Gushel-Mukai varieties: linear spaces and periods ⋮ Geometric description of \(\langle 2\rangle \)-polarised Hilbert squares of generic \(K3\) surfaces ⋮ One-cycles on Gushel-Mukai fourfolds and the Beauville-Voisin filtration ⋮ Some motivic properties of Gushel–Mukai sixfolds ⋮ Gushel–Mukai varieties: Moduli ⋮ Moduli of double EPW-sextics ⋮ Double covers of quadratic degeneracy and Lagrangian intersection loci ⋮ EPW cubes ⋮ The generalized Franchetta conjecture for some hyper-Kähler varieties ⋮ Derived categories of Gushel–Mukai varieties ⋮ Zero-cycles on self-products of surfaces: some new examples verifying Voisin's conjecture ⋮ On the non-symplectic involutions of the Hilbert square of a K3 surface ⋮ Periods of double EPW-sextics ⋮ Contractions of hyper-Kähler fourfolds and the Brauer group

Cites Work

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• Variétés kähleriennes dont la première classe de Chern est nulle
• Involutions and linear systems on holomorphic symplectic manifolds
• Dual double EPW-sextics and their periods
• Compact hyperkähler manifolds: Basic results
• Lagrangian subbundles and codimension 3 subcanonical subschemes.
• EPW-sextics: Taxonomy
• Irreducible symplectic 4-folds and Eisenbud-Popescu-Walter sextics
• $K3$ surfaces of genus 8 and varieties of sums of powers of cubic fourfolds
• Hyper-Kähler fourfolds and Grassmann geometry
• IRREDUCIBLE SYMPLECTIC 4-FOLDS NUMERICALLY EQUIVALENT TO (K3)^[2]
• Fano manifolds of degree ten and EPW sextics

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