Special subvarieties of EPW sextics

DOI10.1007/s00209-012-0980-5zbMath1268.53058OpenAlexW1977312366MaRDI QIDQ1925738

Andrea Ferretti

Publication date: 19 December 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-012-0980-5

zbMATH Keywords

quartic surfacesEPW sexticsholomorphic symplectic varietiesReye congruences

Mathematics Subject Classification ID

(4)-folds (14J35) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Related Items (9)

Gushel-Mukai varieties: linear spaces and periods ⋮ Induced automorphisms on irreducible symplectic manifolds: ⋮ One-cycles on Gushel-Mukai fourfolds and the Beauville-Voisin filtration ⋮ From Enriques Surface to Artin-Mumford Counterexample ⋮ Families of rational curves on holomorphic symplectic varieties and applications to 0-cycles ⋮ Moduli of double EPW-sextics ⋮ Calabi–Yau Quotients of Hyperkähler Four-folds ⋮ Moduli Spaces of Cubic Threefolds and of Irreducible Holomorphic Symplectic Manifolds ⋮ Hyperkähler manifolds from the Tits -- Freudenthal magic square

Cites Work

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• On symmetric and skew-symmetric determinantal varieties
• Involutions and linear systems on holomorphic symplectic manifolds
• Dual double EPW-sextics and their periods
• On the Chow ring of certain algebraic hyper-Kähler manifolds
• Compact hyperkähler manifolds: Basic results
• 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
• Reye Congruences
• IRREDUCIBLE SYMPLECTIC 4-FOLDS NUMERICALLY EQUIVALENT TO (K3)^[2]
• Fano manifolds of degree ten and EPW sextics

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