Lagrangian fibrations on Hilbert schemes of points on K3 surfaces

DOI10.1090/S1056-3911-06-00453-XzbMath1123.14008arXivmath/0509224MaRDI QIDQ5297683

Justin Sawon

Publication date: 12 July 2007

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509224

zbMATH Keywords

Hilbert schemeLagrangian fibration

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Parametrization (Chow and Hilbert schemes) (14C05) Algebraic moduli problems, moduli of vector bundles (14D20) Fibrations, degenerations in algebraic geometry (14D06)

Related Items

Fourier-Mukai transform on abelian surfaces ⋮ Vector bundles on Fano varieties of genus ten ⋮ Moduli spaces of sheaves on \(K3\) surfaces ⋮ Projectivity and birational geometry of Bridgeland moduli spaces ⋮ Automorphism groups of Calabi-Yau manifolds of Picard number 2 ⋮ Generic strange duality for \(K3\) surfaces ⋮ Birational geometry of Beauville-Mukai systems. I: The rank three and genus two case. ⋮ Birational maps of moduli spaces of vector bundles on \(K3\) surfaces ⋮ On \(k\)-gonal loci in Severi varieties on general \(K3\) surfaces and rational curves on hyperkähler manifolds ⋮ Lagrangian fibrations on generalized Kummer varieties ⋮ MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations ⋮ Prime Fano threefolds and integrable systems ⋮ On nef reductions of projective irreducible symplectic manifolds ⋮ Rational Lagrangian fibrations on punctual Hilbert schemes of \(K3\) surfaces ⋮ The generalized Franchetta conjecture for some hyperkähler fourfolds ⋮ Fibrations on four-folds with trivial canonical bundles ⋮ Holomorphic symplectic geometry: a problem list ⋮ A survey of Torelli and monodromy results for holomorphic-symplectic varieties

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