Fano manifolds with big tangent bundle: a characterisation of $V_5$
Algebraic Geometry
2021-10-15 v1
Abstract
Let X be a Fano manifold with Picard number one such that the tangent bundle T_X is big. If X admits a rational curve with trivial normal bundle, we show that X is isomorphic to the del Pezzo threefold of degree five.
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Cite
@article{arxiv.2110.07237,
title = {Fano manifolds with big tangent bundle: a characterisation of $V_5$},
author = {Andreas Höring and Jie Liu},
journal= {arXiv preprint arXiv:2110.07237},
year = {2021}
}
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44 pages