Compact moduli spaces for slope-semistable sheaves
Abstract: We resolve pathological wall-crossing phenomena for moduli spaces of sheaves on
higher-dimensional complex projective manifolds. This is achieved by considering slope-
semistability with respect to movable curves rather than divisors. Moreover, given a
projective n-fold and a curve C that arises as the complete intersection of n − 1 very
ample divisors, we construct a modular compactification of the moduli space of vec-
tor bundles that are slope-stable with respect to C. Our construction generalises the
algebro-geometric construction of the Donaldson–Uhlenbeck compactification by Le
Potier and Li. Furthermore, we describe the geometry of the newly constructed moduli
spaces by relating them to moduli spaces of simple sheaves and to Gieseker–Maruyama
moduli spaces
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Anmerkungen
-
Algebraic geometry. - 4, 1 (2017) , 40-78, ISSN: 2313-1691
- Ereignis
-
Veröffentlichung
- (wo)
-
Freiburg
- (wer)
-
Universität
- (wann)
-
2019
- Urheber
- Beteiligte Personen und Organisationen
-
Arbeitsgruppe Algebraische Geometrie, Prof. Dr. Stefan Kebekus
- DOI
-
10.14231/ag-2017-003
- URN
-
urn:nbn:de:bsz:25-freidok-1377921
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
21.03.2025, 08:44 MEZ
Datenpartner
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Greb, Daniel
- Toma, Matei
- Arbeitsgruppe Algebraische Geometrie, Prof. Dr. Stefan Kebekus
- Universität
Entstanden
- 2019
Ähnliche Objekte (12)
On moduli spaces of semistable sheaves on K3 surfaces
Examples of smooth components of moduli spaces of stable sheaves
Brill-Noether Theorems for moduli spaces of sheaves on surfaces
Moduli of homomorphisms of sheaves
A categorical sl_2 action on some moduli spaces of sheaves
Relative moduli spaces of semi-stable sheaves on families of curves
Moduli spaces of decomposable morhpisms of sheaves and quotients by non-reductive groups
On Simpson Moduli Spaces of Stable Sheaves on P_2 with Linear Hilbert Polynomial
Nef divisors for moduli spaces of complexes with compact support
Modification of Simpson moduli spaces of 1-dimensional sheaves by vector bundles : an experimental example
Resolutions and moduli for equivariant sheaves over toric varieties
Variational Geometric Invariant Theory and Moduli of Quiver Sheaves
On moduli spaces of semistable sheaves on K3 surfaces
Examples of smooth components of moduli spaces of stable sheaves
Brill-Noether Theorems for moduli spaces of sheaves on surfaces
Moduli of homomorphisms of sheaves
A categorical sl_2 action on some moduli spaces of sheaves
Relative moduli spaces of semi-stable sheaves on families of curves
Moduli spaces of decomposable morhpisms of sheaves and quotients by non-reductive groups
On Simpson Moduli Spaces of Stable Sheaves on P_2 with Linear Hilbert Polynomial
Nef divisors for moduli spaces of complexes with compact support
Modification of Simpson moduli spaces of 1-dimensional sheaves by vector bundles : an experimental example
Resolutions and moduli for equivariant sheaves over toric varieties
Variational Geometric Invariant Theory and Moduli of Quiver Sheaves
On moduli spaces of semistable sheaves on K3 surfaces
Examples of smooth components of moduli spaces of stable sheaves
Brill-Noether Theorems for moduli spaces of sheaves on surfaces
Moduli of homomorphisms of sheaves
A categorical sl_2 action on some moduli spaces of sheaves
Relative moduli spaces of semi-stable sheaves on families of curves
Moduli spaces of decomposable morhpisms of sheaves and quotients by non-reductive groups
On Simpson Moduli Spaces of Stable Sheaves on P_2 with Linear Hilbert Polynomial
Nef divisors for moduli spaces of complexes with compact support
Modification of Simpson moduli spaces of 1-dimensional sheaves by vector bundles : an experimental example
Resolutions and moduli for equivariant sheaves over toric varieties