Polynomial Bridgeland Stable Objects and Reflexive Sheaves
Abstract
On a smooth projective threefold, we show that there are only two isomorphism types for the moduli of stable objects with respect to Bayer's standard polynomial Bridgeland stability - the moduli of Gieseker-stable sheaves and the moduli of PT-stable objects - under the following assumptions: no two of the stability vectors are collinear, and the degree and rank of the objects are relatively prime. We also describe a close relation between the intersection of the moduli spaces of PT-stable and dual-PT-stable objects, and the moduli of reflexive sheaves.
Cite
@article{arxiv.1112.4511,
title = {Polynomial Bridgeland Stable Objects and Reflexive Sheaves},
author = {Jason Lo},
journal= {arXiv preprint arXiv:1112.4511},
year = {2012}
}
Comments
13 pages. Introduction expanded, and other corrections and changes made according to referee's comments. Statements of Theorem 1.2 and Proposition 4.3 slightly modified. To appear in Math. Res. Lett