Birational stability of the cotangent bundle

Frederic Campana

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arXiv · 1008.4850

Birational stability of the cotangent bundle

Frederic Campana

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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.

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Frederic Campana. 2010-08-28. Birational stability of the cotangent bundle. https://arxiv.org/abs/1008.4850

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