Moduli of sheaves, Fourier-Mukai transform, and partial desingularization

DOI10.1007/s00209-015-1597-2zbMath1350.14016arXiv1410.8211OpenAlexW2154519678MaRDI QIDQ284795

Kiryong Chung, Han-Bom Moon

Publication date: 18 May 2016

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.8211

zbMATH Keywords

moduli spaceFourier-Mukai transformbirational morphismmoduli space of sheavespartial desingularizationstable pairs

Mathematics Subject Classification ID

Related Items (4)

Geometry of moduli spaces of rational curves in linear sections of Grassmannian \(\mathrm{Gr}(2,5)\) ⋮ Intersection cohomology of pure sheaf spaces using Kirwan's desingularization ⋮ Moduli of sheaves supported on curves of genus two in a quadric surface ⋮ Mori's program for the moduli space of conics in Grassmannian

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Moduli of sheaves supported on quartic space curves
• The birational geometry of moduli spaces of sheaves on the projective plane
• MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations
• Hecke correspondence, stable maps, and the Kirwan desingularization
• A functorial construction of moduli of sheaves
• Hodge polynomials of the moduli spaces of rank 3 pairs
• Partial desingularisations of quotients of nonsingular varieties and their Betti numbers
• Compactification of \(M_{\mathbb{P}_ 3}(0,2)\) and Poncelet pairs of conics
• Moduli of representations of the fundamental group of a smooth projective variety. I
• Compactified moduli spaces of rational curves in projective homogeneous varieties
• The minimal model program for the Hilbert scheme of points on \(\mathbb P^2\) and Bridgeland stability
• Stable base locus decompositions of Kontsevich moduli spaces
• The geometry of the moduli space of one-dimensional sheaves
• The effective cone of the moduli space of sheaves on the plane
• The Birational Geometry of the Hilbert Scheme of Points on Surfaces
• 13/2 ways of counting curves
• Localization in quiver moduli spaces
• Cohomology bounds for sheaves of dimension one
• Duality, Bridgeland wall-crossing and flips of secant varieties
• Projectivity and birational geometry of Bridgeland moduli spaces
• Stable pairs and BPS invariants
• On the Homology of Compactifications of Moduli Spaces of Vector Bundles Over a Riemann Surface
• Fibrés exceptionnels et variétés de modules de faisceaux semi-stables sur P2 ( C ).
• Algebraic Families on an Algebraic Surface, II, the Picard Scheme of the Punctual Hilbert Scheme
• ESPACES DE MODULES DE SYSTÈMES COHÉRENTS
• Desingularized moduli spaces of sheaves on a K3
• Notes on stable maps and quantum cohomology
• On the moduli scheme of stable sheaves supported on cubic space curves

This page was built for publication: Moduli of sheaves, Fourier-Mukai transform, and partial desingularization