Irreducible symplectic 4-folds and Eisenbud-Popescu-Walter sextics

DOI10.1215/S0012-7094-06-13413-0zbMath1105.14051arXivmath/0507398WikidataQ60141295 ScholiaQ60141295MaRDI QIDQ2500443

Publication date: 24 August 2006

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

Full work available at URL: https://arxiv.org/abs/math/0507398

zbMATH Keywords

EPW sextic symplectic variety hyperkähler manifold

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) (4)-folds (14J35) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Families, moduli, classification: algebraic theory (14J10)

Related Items (53)

Moduli spaces and modular forms. Abstracts from the workshop held January 31 -- February 6, 2021 (hybrid meeting) ⋮ KODAIRA DIMENSION OF UNIVERSAL HOLOMORPHIC SYMPLECTIC VARIETIES ⋮ Classification of automorphisms on a deformation family of hyper-Kähler four-folds by \(p\)-elementary lattices ⋮ On the Kodaira dimension of orthogonal modular varieties ⋮ Symplectic involutions on deformations of \(K3^{[2}\)] ⋮ Gushel-Mukai varieties with many symmetries and an explicit irrational Gushel-Mukai threefold ⋮ Some remarks on moduli spaces of lattice polarized holomorphic symplectic manifolds ⋮ Gushel-Mukai varieties: linear spaces and periods ⋮ Semialgebraic horizontal subvarieties of Calabi-Yau type ⋮ Special subvarieties of EPW sextics ⋮ Induced automorphisms on irreducible symplectic manifolds: ⋮ Geometric description of \(\langle 2\rangle \)-polarised Hilbert squares of generic \(K3\) surfaces ⋮ Kuznetsov's Fano threefold conjecture via \(K3\) categories and enhanced group actions ⋮ Stability conditions and moduli spaces for Kuznetsov components of Gushel-Mukai varieties ⋮ One-cycles on Gushel-Mukai fourfolds and the Beauville-Voisin filtration ⋮ Algebraic geometry: moduli spaces, birational geometry and derived aspects. Abstracts from the workshop held July 10--16, 2022 ⋮ Some motivic properties of Gushel–Mukai sixfolds ⋮ Gushel–Mukai varieties: Moduli ⋮ Chow groups of Gushel-Mukai fivefolds ⋮ EPW-sextics: Taxonomy ⋮ Gopakumar-Vafa type invariants of holomorphic symplectic 4-folds ⋮ Classical algebraic geometry. Abstracts from the workshop held June 20--26, 2021 (hybrid meeting) ⋮ Moduli of double EPW-sextics ⋮ Double covers of quadratic degeneracy and Lagrangian intersection loci ⋮ Double covers of EPW-sextics ⋮ Kodaira dimension of moduli of special \(K3^{[2}\)-fourfolds of degree 2] ⋮ Calabi–Yau Quotients of Hyperkähler Four-folds ⋮ NEW SYMPLECTIC V-MANIFOLDS OF DIMENSION FOUR VIA THE RELATIVE COMPACTIFIED PRYMIAN ⋮ On the variety of triangles for a hyper-Kähler fourfold constructed by Debarre and Voisin ⋮ Moduli Spaces of Cubic Threefolds and of Irreducible Holomorphic Symplectic Manifolds ⋮ Examples of Irreducible Symplectic Varieties ⋮ Moduli spaces of irreducible symplectic manifolds ⋮ EPW cubes ⋮ Mori's program for the moduli space of conics in Grassmannian ⋮ Degenerations of Gushel-Mukai fourfolds, with a view towards irrationality proofs ⋮ Non-symplectic automorphisms of odd prime order on manifolds of \(K3^{[n}\)-type] ⋮ Derived categories of Gushel–Mukai varieties ⋮ Hyper-Kähler fourfolds and Grassmann geometry ⋮ Multiplicative Chow-Künneth decompositions and varieties of cohomological \(K3\) type ⋮ Birational geometry of the moduli space of quartic surfaces ⋮ Zero-cycles on self-products of surfaces: some new examples verifying Voisin's conjecture ⋮ Reflective modular forms and applications ⋮ Holomorphic symplectic geometry: a problem list ⋮ A survey of Torelli and monodromy results for holomorphic-symplectic varieties ⋮ On the non-symplectic involutions of the Hilbert square of a K3 surface ⋮ On the Lefschetz standard conjecture for Lagrangian covered hyper-Kähler varieties ⋮ Enriques manifolds ⋮ On the double EPW sextic associated to a Gushel–Mukai fourfold ⋮ A note on automorphisms and birational transformations of holomorphic symplectic manifolds ⋮ NON-SYMPLECTIC INVOLUTIONS ON MANIFOLDS OF -TYPE ⋮ Zero-cycles on double EPW sextics ⋮ Periods of double EPW-sextics ⋮ The geometry of antisymplectic involutions. I.

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