Fibered stable varieties
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- by Zsolt Patakfalvi PDF
- Trans. Amer. Math. Soc. 368 (2016), 1837-1869 Request permission
Abstract:
We show that if a stable variety (in the sense of Kollár 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 a Bogomolov-Sommese type vanishing for vector bundles and reflexive differential $n-1$-forms as well.References
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Additional Information
- Zsolt Patakfalvi
- Affiliation: Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, New Jersey 08544-1000
- Email: pzs@math.princeton.edu
- Received by editor(s): April 13, 2013
- Received by editor(s) in revised form: June 20, 2013, September 17, 2013, January 6, 2014, and January 8, 2014
- Published electronically: June 15, 2015
- © Copyright 2015 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 368 (2016), 1837-1869
- MSC (2010): Primary 14J10; Secondary 14J40
- DOI: https://doi.org/10.1090/tran/6386
- MathSciNet review: 3449226