Obstructed bundles of rank two on a quintic surface
Algebraic Geometry
2010-05-18 v3
Abstract
In this note we consider the moduli space of stable bundles of rank two on a very general quintic surface. We study the potentially obstructed points of the moduli space via the spectral covering of a twisted endomorphism. This analysis leads to generically non-reduced components of the moduli space, and components which are generically smooth of more than the expected dimension. We obtain a sharp bound asked for by O'Grady saying when the moduli space is good.
Keywords
Cite
@article{arxiv.0909.1693,
title = {Obstructed bundles of rank two on a quintic surface},
author = {Nicole Mestrano and Carlos T. Simpson},
journal= {arXiv preprint arXiv:0909.1693},
year = {2010}
}
Comments
Adds references, corrections