O'Grady tenfolds as moduli spaces of sheaves

Birational automorphisms, Cremona group and generalizations (14E07) Automorphisms of surfaces and higher-dimensional varieties (14J50) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42)

Cites Work

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Birational geometry of singular moduli spaces of O'Grady type
Hodge theory and derived categories of cubic fourfolds
Algebraic geometric interpretation of Donaldson's polynomial invariants
On two rationality conjectures for cubic fourfolds
Variétés kähleriennes dont la première classe de Chern est nulle
Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
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The Kähler cone of a compact hyperkähler manifold
A hyper-Kähler compactification of the intermediate Jacobian fibration associated with a cubic 4-fold
Topology of Lagrangian fibrations and Hodge theory of hyper-Kähler manifolds
Birational geometry of irreducible holomorphic symplectic tenfolds of O'Grady type
P=W conjectures for character varieties with symplectic resolution
Nonsymplectic automorphisms of prime order on O'Grady's sixfolds
Elliptic quintics on cubic fourfolds, O'Grady 10, and Lagrangian fibrations
Monodromy and birational geometry of O'Grady's sixfolds
On the Beauville form of the known irreducible symplectic varieties
Stability conditions on \(K3\) surfaces
Equivalences of twisted K3 surfaces
On the period of Lehn, Lehn, Sorger, and van Straten's symplectic eightfold
Induced automorphisms on irreducible symplectic manifolds:
A survey of Torelli and monodromy results for holomorphic-symplectic varieties
Lectures on K3 Surfaces
Hodge Theory of Cubic Fourfolds, Their Fano Varieties, and Associated K3 Categories
La singularité de O’Grady
Desingularized moduli spaces of sheaves on a K3
Deformation of the O'Grady moduli spaces
Factoriality Properties of Moduli Spaces of Sheaves on Abelian and K3 Surfaces
On the monodromy group of desingularised moduli spaces of sheaves on K3 surfaces
The K3 category of a cubic fourfold
Autoequivalences of twisted K3 surfaces
On intersection cohomology and Lagrangian fibrations of irreducible symplectic varieties
Hitchin fibrations, abelian surfaces, and the P=W conjecture
Twisted cubics on cubic fourfolds and stability conditions
Induced birational transformations on O'Grady's sixfolds
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