The ample cone of moduli spaces of sheaves on the plane
Algebraic Geometry
2014-09-22 v1
Abstract
Fix a Chern character of a stable sheaf on the plane. Assume either the rank is at most 6 or the rank and first Chern class are coprime and the discriminant is sufficiently large. We use recent results of Bayer and Macri on Bridgeland stability to compute the ample cone of the moduli space of Gieseker semistable sheaves with the given Chern character. We recover earlier results, such as those by Stromme and Yoshioka, as special cases.
Keywords
Cite
@article{arxiv.1409.5478,
title = {The ample cone of moduli spaces of sheaves on the plane},
author = {Izzet Coskun and Jack Huizenga},
journal= {arXiv preprint arXiv:1409.5478},
year = {2014}
}
Comments
27 pages, comments welcome!