Positivity of cotangent bundles
Algebraic Geometry
2010-02-04 v2
Abstract
In this paper we prove a generalization of a theorem of Schneider, which gives a criterion for a projective surface over the complex numbers to have an ample cotangent bundle. After reviewing different notions of positivity, we introduce a slightly weaker notion of ampleness, which we call quasi-ample, and then are able to extend Schneider's result to higher dimensions.
Cite
@article{arxiv.0803.0622,
title = {Positivity of cotangent bundles},
author = {Kelly Jabbusch},
journal= {arXiv preprint arXiv:0803.0622},
year = {2010}
}
Comments
15 pages. v2. Minor revisions. To appear in Michigan Math. J