On two moduli spaces of sheaves supported on quadric surfaces
Algebraic Geometry
2015-02-24 v2
Abstract
We show that the moduli space of semi-stable sheaves on a smooth quadric surface, having dimension 1, multiplicity 4, Euler characteristic 2, and first Chern class (2, 2), is the blow-up at two points of a certain hypersurface in a weighted projective space.
Keywords
Cite
@article{arxiv.1501.02556,
title = {On two moduli spaces of sheaves supported on quadric surfaces},
author = {Mario Maican},
journal= {arXiv preprint arXiv:1501.02556},
year = {2015}
}
Comments
Second version contains a more general rationality result (Prop. 3)