Segre classes of tautological bundles on Hilbert schemes of surfaces

DOI10.14231/AG-2019-010zbMath1428.14010arXiv1708.06325OpenAlexW4298881526WikidataQ128367362 ScholiaQ128367362MaRDI QIDQ5204024

Claire Voisin

Publication date: 9 December 2019

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

Full work available at URL: https://arxiv.org/abs/1708.06325

zbMATH Keywords

K3 surfacestautological bundlesHilbert scheme of pointsSegre classes

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) (K3) surfaces and Enriques surfaces (14J28) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Parametrization (Chow and Hilbert schemes) (14C05) Sheaves in algebraic geometry (14F06)

Related Items (12)

Rationality of descendent series for Hilbert and Quot schemes of surfaces ⋮ Higher rank Segre integrals over the Hilbert scheme of points ⋮ Big and nef tautological vector bundles over the Hilbert scheme of points ⋮ Some families of big and stable bundles on \(K3\) surfaces and on their Hilbert schemes of points ⋮ Virtual Segre and Verlinde numbers of projective surfaces ⋮ Trisecant flops, their associated \(K3\) surfaces and the rationality of some cubic fourfolds ⋮ New examples of rational Gushel-Mukai fourfolds ⋮ Non-surjective Gaussian maps for singular curves on $K3$ surfaces ⋮ The virtual \(K\)-theory of Quot schemes of surfaces ⋮ Higher codimension cycles on the Hilbert scheme of three points on the projective plane ⋮ Quot schemes of curves and surfaces: virtual classes, integrals, Euler characteristics ⋮ Universality of descendent integrals over moduli spaces of stable sheaves on \(K3\) surfaces

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