Hecke correspondence, stable maps, and the Kirwan desingularization

DOI10.1215/S0012-7094-07-13636-6zbMath1119.14033arXivmath/0512005OpenAlexW2128060880MaRDI QIDQ869990

Young-Hoon Kiem

Publication date: 12 March 2007

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512005

zbMATH Keywords

Hecke correspondencemoduli spacesHilbert schemestable mapsdesingularisationChow scheme

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Parametrization (Chow and Hilbert schemes) (14C05) Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60)

Related Items (11)

Moduli of sheaves, Fourier-Mukai transform, and partial desingularization ⋮ On the Hilbert scheme of the moduli space of vector bundles over an algebraic curve ⋮ Geometry of moduli spaces of rational curves in linear sections of Grassmannian \(\mathrm{Gr}(2,5)\) ⋮ Compactified moduli spaces of rational curves in projective homogeneous varieties ⋮ Stable maps of genus zero in the space of stable vector bundles on a curve ⋮ Desingularization of Kontsevich's compactification of twisted cubics in \(V_5\) ⋮ Intersection cohomology of pure sheaf spaces using Kirwan's desingularization ⋮ MODULI SPACE OF STABLE MAPS TO PROJECTIVE SPACE VIA GIT ⋮ Mori's program for the moduli space of conics in Grassmannian ⋮ Remarks on lines and minimal rational curves ⋮ Compactifications of conic spaces in del Pezzo 3-fold

Cites Work

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