Stability of a natural sheaf over the Cartesian square of the Hilbert scheme of points on a \(K3\) surface

DOI10.1007/s00209-017-1855-6zbMath1376.14039arXiv1506.06191OpenAlexW2964161333MaRDI QIDQ1686790

Eyal Markman

Publication date: 15 December 2017

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06191

zbMATH Keywords

Hilbert schemePicard groupcoherent sheaveexceptional divisormodulus space

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Parametrization (Chow and Hilbert schemes) (14C05)

Cites Work

• Ergodic complex structures on hyperkähler manifolds
• Hilbert schemes of K3 surfaces are dense in moduli
• New derived symmetries of some hyperkähler varieties
• On the Torelli problem for kählerian $K-3$ surfaces
• The Beauville-Bogomolov class as a characteristic class
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