Geometry and stability of tautological bundles on Hilbert schemes of points

DOI10.2140/ANT.2016.10.1173zbMath1359.14040arXiv1409.8229OpenAlexW2246973119MaRDI QIDQ313942

David P. Stapleton

Publication date: 12 September 2016

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.8229

zbMATH Keywords

vector bundles on surfacesspectral curvesHilbert schemes of pointslog tangent bundleslope-stabilitytautological bundles

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Parametrization (Chow and Hilbert schemes) (14C05) Algebraic cycles (14C25)

Related Items (8)

Stability of some vector bundles on Hilbert schemes of points on \(K3\) surfaces ⋮ Stable vector bundles on generalized Kummer varieties ⋮ Fourier-Mukai transformation and logarithmic Higgs bundles on punctual Hilbert schemes ⋮ Some families of big and stable bundles on \(K3\) surfaces and on their Hilbert schemes of points ⋮ Stability and certain \(\mathbb{P}^n\)-functors ⋮ Some ways to reconstruct a sheaf from its tautological image on a Hilbert scheme of points ⋮ Remarks on the derived McKay correspondence for Hilbert schemes of points and tautological bundles ⋮ Examples of smooth components of moduli spaces of stable sheaves

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