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arXiv · 1208.1787

Fibered stable varieties

Zsolt Patakfalvi
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Abstract

We show that if a stable variety (in the sense of Koll\'ar and Shepherd-Barron) admits a fibration with stable fibers and base, then this fibration structure deforms (uniquely) for all small deformations. During our proof we obtain also a Bogomolov-Sommese type vanishing for vector bundles and reflexive differential $n-1$-forms.

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Zsolt Patakfalvi. 2012-08-08. Fibered stable varieties. https://arxiv.org/abs/1208.1787

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