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
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Notes
-
Algebraic geometry. - 4, 1 (2017) , 40-78, ISSN: 2313-1691
- Event
-
Veröffentlichung
- (where)
-
Freiburg
- (who)
-
Universität
- (when)
-
2019
- Creator
- Contributor
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Arbeitsgruppe Algebraische Geometrie, Prof. Dr. Stefan Kebekus
- DOI
-
10.14231/ag-2017-003
- URN
-
urn:nbn:de:bsz:25-freidok-1377921
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
25.03.2025, 1:43 PM CET
Data provider
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Greb, Daniel
- Toma, Matei
- Arbeitsgruppe Algebraische Geometrie, Prof. Dr. Stefan Kebekus
- Universität
Time of origin
- 2019
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