Degenerations of rationally connected varieties
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- by Amit Hogadi and Chenyang Xu PDF
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Abstract:
We prove that a degeneration of rationally connected varieties over a field of characteristic zero always contains a geometrically irreducible subvariety which is rationally connected.References
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Additional Information
- Amit Hogadi
- Affiliation: Department of Mathematics, Princeton University, Princeton, New Jersey 08544
- Address at time of publication: School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai 400005 India
- Email: amit@math.princeton.edu
- Chenyang Xu
- Affiliation: Department of Mathematics, Princeton University, Princeton, New Jersey 08544
- MR Author ID: 788735
- ORCID: 0000-0001-6627-3069
- Email: chenyang@math.princeton.edu
- Received by editor(s): June 6, 2007
- Received by editor(s) in revised form: November 29, 2007
- Published electronically: March 3, 2009
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 361 (2009), 3931-3949
- MSC (2000): Primary 14J26, 14J45; Secondary 14E30, 14G27
- DOI: https://doi.org/10.1090/S0002-9947-09-04715-1
- MathSciNet review: 2491906