Dimension estimates for Hilbert schemes and effective base point freeness on moduli spaces of vector bundles on curves
Algebraic Geometry
2007-05-23 v3
Abstract
We obtain effective results for the global generation of pluritheta line bundles on moduli spaces of vector bundles on curves. The main ingredient is an independent result giving an upper bound on the dimension of the Hilbert scheme of coherent quotients of a given vector bundle.
Keywords
Cite
@article{arxiv.math/0002018,
title = {Dimension estimates for Hilbert schemes and effective base point freeness on moduli spaces of vector bundles on curves},
author = {Mihnea Popa},
journal= {arXiv preprint arXiv:math/0002018},
year = {2007}
}
Comments
22 pages; final version with minor corrections