Segre classes and Hilbert schemes of points

zbMath1453.14016arXiv1507.00688MaRDI QIDQ2981856

Dragos Oprea, Alina Marian, Rahul Pandharipande

Publication date: 10 May 2017

Full work available at URL: https://arxiv.org/abs/1507.00688

zbMATH Keywords

Hilbert schemes of pointstautological classesQuot schemesmoduli of \(K3\) surfaces

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Parametrization (Chow and Hilbert schemes) (14C05) Families, moduli, classification: algebraic theory (14J10)

Related Items (20)

Rationality of descendent series for Hilbert and Quot schemes of surfaces ⋮ Rank-one sheaves and stable pairs on surfaces ⋮ Higher rank Segre integrals over the Hilbert scheme of points ⋮ Tautological integrals on symmetric products of curves ⋮ A note on Nikulin surfaces and their moduli spaces ⋮ 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 ⋮ Generating series of intersection numbers on Hilbert schemes of points ⋮ Virtual Segre and Verlinde numbers of projective surfaces ⋮ Virasoro constraints for moduli of sheaves and vertex algebras ⋮ Application of Lagrange inversion to wall-crossing for Quot schemes on surfaces ⋮ Tautological classes on moduli spaces of hyper-Kähler manifolds ⋮ The virtual \(K\)-theory of Quot schemes of surfaces ⋮ GIT versus Baily-Borel compactification for \(K3\)'s which are double covers of \(\mathbb{P}^1 \times \mathbb{P}^1\) ⋮ Higher codimension cycles on the Hilbert scheme of three points on the projective plane ⋮ Higher rank K-theoretic Donaldson-Thomas Theory of points ⋮ Virtual χ−y‐genera of Quot schemes on surfaces ⋮ Geometry of intersections of some secant varieties to algebraic curves ⋮ 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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