Rational Lagrangian fibrations on punctual Hilbert schemes of \(K3\) surfaces

DOI10.1007/s00229-006-0631-4zbMath1102.14031arXivmath/0509346OpenAlexW2031939542MaRDI QIDQ2502194

Dimitri G. Markushevich

Publication date: 12 September 2006

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509346

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) (K3) surfaces and Enriques surfaces (14J28) Fibrations, degenerations in algebraic geometry (14D06)

Related Items

Fourier-Mukai transform on abelian surfaces, Vector bundles on Fano varieties of genus ten, Lagrangian fibrations on Hilbert schemes of points on K3 surfaces, Moduli spaces of sheaves on \(K3\) surfaces, Projectivity and birational geometry of Bridgeland moduli spaces, 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, NEW SYMPLECTIC V-MANIFOLDS OF DIMENSION FOUR VIA THE RELATIVE COMPACTIFIED PRYMIAN, MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations, On nef reductions of projective irreducible symplectic manifolds, 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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