Fibered stable varieties
Algebraic Geometry
2014-02-05 v4
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 -forms.
Cite
@article{arxiv.1208.1787,
title = {Fibered stable varieties},
author = {Zsolt Patakfalvi},
journal= {arXiv preprint arXiv:1208.1787},
year = {2014}
}