On the double EPW sextic associated to a Gushel–Mukai fourfold

DOI10.1112/jlms.12205zbMath1452.14014arXiv1709.02144OpenAlexW3104232193MaRDI QIDQ5237357

Laura Pertusi

Publication date: 17 October 2019

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.02144

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) (4)-folds (14J35) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Related Items (8)

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 ⋮ Derived categories of hearts on Kuznetsov components ⋮ Categorical Torelli theorems: results and open problems ⋮ Kodaira dimension of moduli of special \(K3^{[2}\)-fourfolds of degree 2] ⋮ Lectures on Non-commutative K3 Surfaces, Bridgeland Stability, and Moduli Spaces ⋮ Zero-cycles on double EPW sextics

Cites Work

• Hodge theory and derived categories of cubic fourfolds
• MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations
• On two rationality conjectures for cubic fourfolds
• Variétés kähleriennes dont la première classe de Chern est nulle
• Some aspects of the Hodge conjecture
• The Hodge conjecture for fourfolds admitting a covering by rational curves
• Constructions of rationality of some four-dimensional Fano varieties of index 2
• Gushel-Mukai varieties: linear spaces and periods
• Irreducible symplectic 4-folds and Eisenbud-Popescu-Walter sextics
• Algebraic varieties with canonical curve sections
• Moving and ample cones of holomorphic symplectic fourfolds
• Special prime Fano fourfolds of degree 10 and index 2
• A survey of Torelli and monodromy results for holomorphic-symplectic varieties
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
• Gushel-Mukai varieties: Classification and birationalities
• Derived categories of Gushel–Mukai varieties
• EPW sextics and Hilbert squares of K3 surfaces
• Fano manifolds of degree ten and EPW sextics
• On the Period Map for Polarized Hyperkähler Fourfolds
• The K3 category of a cubic fourfold
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