Birational stability of the cotangent bundle

Details Birational stability of the cotangent bundle Birational stability of the cotangent bundle

2010-08-28

arxiv.org/abs/1008.4850v1

Mathematics

Complex Variables

Scientific paper

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.

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