Higher rank Segre integrals over the Hilbert scheme of points

DOI10.4171/JEMS/1149zbMath1495.14006arXiv1712.02382OpenAlexW3194082297WikidataQ114021488 ScholiaQ114021488MaRDI QIDQ2135445

Alina Marian, Dragos Oprea, Rahul Pandharipande

Publication date: 6 May 2022

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.02382

zbMATH Keywords

tautological integralsHilbert scheme of pointsSegre and Verlinde numbers

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Parametrization (Chow and Hilbert schemes) (14C05) Families, moduli, classification: algebraic theory (14J10)

Related Items

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 ⋮ Stability and certain \(\mathbb{P}^n\)-functors ⋮ Le Potier's strange duality, quot schemes, and multiple point formulas for del Pezzo surfaces ⋮ Virtual Segre and Verlinde numbers of projective surfaces ⋮ Application of Lagrange inversion to wall-crossing for Quot schemes on surfaces ⋮ Quot schemes of curves and surfaces: virtual classes, integrals, Euler characteristics ⋮ Universality of descendent integrals over moduli spaces of stable sheaves on \(K3\) surfaces ⋮ K-theoretic descendent series for Hilbert schemes of points on surfaces

Cites Work

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• Segre classes of tautological bundles on Hilbert schemes of surfaces
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