Moduli of double EPW-sextics

DOI10.1090/memo/1136zbMath1408.14116arXiv1111.1395OpenAlexW4240877829MaRDI QIDQ5365178

Kieran G. O'Grady

Publication date: 6 October 2017

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

Full work available at URL: https://arxiv.org/abs/1111.1395

zbMATH Keywords

GIT quotientperiod maphyperkähler varieties

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Families, moduli, classification: algebraic theory (14J10) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (8)

Hilbert squares of \(K3\) surfaces and Debarre-Voisin varieties ⋮ Kuznetsov's Fano threefold conjecture via \(K3\) categories and enhanced group actions ⋮ Gushel–Mukai varieties: Moduli ⋮ Double covers of quadratic degeneracy and Lagrangian intersection loci ⋮ GIT versus Baily-Borel compactification for \(K3\)'s which are double covers of \(\mathbb{P}^1 \times \mathbb{P}^1\) ⋮ Derived categories of Gushel–Mukai varieties ⋮ Birational geometry of the moduli space of quartic  surfaces ⋮ Periods of double EPW-sextics

Cites Work

• Mapping class group and a global Torelli theorem for hyperkähler manifolds
• Variétés kähleriennes dont la première classe de Chern est nulle
• A new proof of the global Torelli theorem for K3 surfaces
• Topics in hyperplane arrangements, polytopes and box-splines
• Dual double EPW-sextics and their periods
• The moduli space of cubic fourfolds via the period map
• The period map for cubic fourfolds
• Théorème de Torelli pour les cubiques de \({\mathbb{P}}^ 5\). (Torelli theorem for the cubics of \({\mathbb{P}}^ 5)\)
• Adherences d'orbite et invariants
• A complete moduli space for K3 surfaces of degree 2
• Compactifications defined by arrangements. II: Locally symmetric varieties of type IV
• Lagrangian subbundles and codimension 3 subcanonical subschemes.
• Special subvarieties of EPW sextics
• Double covers of EPW-sextics
• Periods of double EPW-sextics
• Twisted cubics on cubic fourfolds
• EPW-sextics: Taxonomy
• On the Beauville form of the known irreducible symplectic varieties
• 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
• A survey of Torelli and monodromy results for holomorphic-symplectic varieties
• Moduli spaces of irreducible symplectic manifolds
• The moduli space of cubic fourfolds
• Desingularized moduli spaces of sheaves on a K3
• Geometric Invariant Theory
• A new six-dimensional irreducible symplectic variety
• Fano manifolds of degree ten and EPW sextics
• INTEGRAL CONSTRAINTS ON THE MONODROMY GROUP OF THE HYPERKÄHLER RESOLUTION OF A SYMMETRIC PRODUCT OF A K3 SURFACE
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Moduli of double EPW-sextics