Birational stability of the cotangent bundle
Complex Variables
2010-08-31 v1
Abstract
We define a birational version of the stability of cotangent sheaves for complex projective manifolds, and more generally for smooth orbifolds. We then show, using standard conjectures in birational classification, that these cotangent sheaves are birationally stable, unless the orbifold is uniruled.
Cite
@article{arxiv.1008.4850,
title = {Birational stability of the cotangent bundle},
author = {Frederic Campana},
journal= {arXiv preprint arXiv:1008.4850},
year = {2010}
}