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Multi-Gieseker semistability and moduli of quiver sheaves.
- Source :
- Contributions to Algebra & Geometry; Jun2019, Vol. 60 Issue 2, p257-332, 76p
- Publication Year :
- 2019
-
Abstract
- We generalize the notion of multi-Gieseker semistability for coherent sheaves, introduced by Greb, Ross, and Toma, to quiver sheaves for a quiver Q. We construct coarse moduli spaces for semistable quiver sheaves using a functorial method that realizes these as subschemes of moduli spaces of representations of a twisted quiver, depending on Q, with relations. We also show the projectivity of the moduli space in the case when Q has no oriented cycles. Further, we construct moduli spaces of quiver sheaves which satisfy a given set of relations as closed subvarieties. Finally, we investigate the parameter dependence of the moduli. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01384821
- Volume :
- 60
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Contributions to Algebra & Geometry
- Publication Type :
- Academic Journal
- Accession number :
- 136128581
- Full Text :
- https://doi.org/10.1007/s13366-018-0417-3