Gotzmann regularity for globally generated coherent sheaves
Algebraic Geometry
2015-10-02 v4
Abstract
In this paper, Gotzmann's Regularity Theorem is established for globally generated coherent sheaves on projective space. This is used to extend Gotzmann's explicit construction to the Quot scheme. The Gotzmann representation is applied to bound the second Chern class of a rank 2 globally generated coherent sheaf in terms of the first Chern class.
Cite
@article{arxiv.1410.8612,
title = {Gotzmann regularity for globally generated coherent sheaves},
author = {Roger Dellaca},
journal= {arXiv preprint arXiv:1410.8612},
year = {2015}
}
Comments
To appear, J. Pure Appl. Algebra