Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

On the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics

On the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics AbstractA parametrization of the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics is given: we describe the gluing of the Brill-Noether loci described by Drézet and Maican, provide a common parameter space for these loci, and show that the Simpson moduli space M = M4m ± 1(ℙ2) is a blow-down of a blow-up of a projective bundle over a smooth moduli space of Kronecker modules. Two different proofs of this statement are given. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Mathematics de Gruyter

On the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics

Open Mathematics , Volume 16 (1): 17 – Feb 23, 2018

Loading next page...
 
/lp/de-gruyter/on-the-fine-simpson-moduli-spaces-of-1-dimensional-sheaves-supported-v7nYzFNSXq
Publisher
de Gruyter
Copyright
© 2018 Iena, published by De Gruyter
ISSN
2391-5455
eISSN
2391-5455
DOI
10.1515/math-2018-0003
Publisher site
See Article on Publisher Site

Abstract

AbstractA parametrization of the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics is given: we describe the gluing of the Brill-Noether loci described by Drézet and Maican, provide a common parameter space for these loci, and show that the Simpson moduli space M = M4m ± 1(ℙ2) is a blow-down of a blow-up of a projective bundle over a smooth moduli space of Kronecker modules. Two different proofs of this statement are given.

Journal

Open Mathematicsde Gruyter

Published: Feb 23, 2018

Keywords: Simpson moduli spaces; 1-dimensional sheaves; Blow-up; Blow-down; Quotients by non-reductive groups; 14D20

References