Separable rational connectedness and stability
Algebraic Geometry
2014-07-30 v3
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.
Cite
@article{arxiv.1312.4238,
title = {Separable rational connectedness and stability},
author = {Zhiyu Tian},
journal= {arXiv preprint arXiv:1312.4238},
year = {2014}
}
Comments
6 pages. Reference and acknowledgement added. Comments are welcome