Positivity of cotangent bundles

Details Positivity of cotangent bundles Positivity of cotangent bundles

2008-03-05

arxiv.org/abs/0803.0622v2

Michigan Math J., Volume 58, Issue 3 (2009), 723-744

Mathematics

Algebraic Geometry

15 pages. v2. Minor revisions. To appear in Michigan Math. J

Scientific paper

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.

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