Examples of smooth components of moduli spaces of stable sheaves
Algebraic Geometry
2020-06-12 v2
Abstract
Let M be a projective fine moduli space of stable sheaves on a smooth projective variety X with a universal family E. We prove that in four examples, E can be realized as a complete flat family of stable sheaves on M parametrized by X, which identifies X with a smooth connected component of some moduli space of stable sheaves on M.
Keywords
Cite
@article{arxiv.1908.00368,
title = {Examples of smooth components of moduli spaces of stable sheaves},
author = {Fabian Reede and Ziyu Zhang},
journal= {arXiv preprint arXiv:1908.00368},
year = {2020}
}
Comments
Minor improvements incorporated according to referee's suggestions. To appear in manuscripta mathematica. 16 pages