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arXiv · 1312.4238

Separable rational connectedness and stability

Zhiyu Tian
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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.

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Zhiyu Tian. 2013-12-16. Separable rational connectedness and stability. https://arxiv.org/abs/1312.4238

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