Published 2015
| Submitted
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Separable rational connectedness and stability
- Creators
- Tian, Zhiyu
Abstract
In this short note we prove that in many cases the failure of a variety to be separably rationally connected is caused by the instability of the tangent sheaf (if there are no other obvious reasons). A simple application of the results proves that a smooth Fano complete intersection is separably rationally connected if and only if it is separably uniruled. In particular, a general such Fano complete intersection is separably rationally connected.
Additional Information
© 2015 American Mathematical Society. The idea of the paper comes from a lecture on foliations in the summer school "rational points, rational curves, and entire holomorphic curves on projective varieties". I would like to thank the organizers for their hard work and the all the lecturers in the summer school for their enlightening lectures. Finally, I would like to thank Prof. Olivier Debarre for suggesting the reference [Ben13]. This paper is dedicated to my dearest friend, Neipu, for his accompany in the time of happiness and in the time of sorrow, and for his strong belief in wait and hope. May he rest in peace.Attached Files
Submitted - 1312.4238v3.pdf
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Additional details
- Eprint ID
- 64762
- Resolver ID
- CaltechAUTHORS:20160225-125522505
- Created
-
2016-02-25Created from EPrint's datestamp field
- Updated
-
2021-11-10Created from EPrint's last_modified field
- Series Name
- Contemporary Mathematics
- Series Volume or Issue Number
- 654