杨晓奎Morningsider center of Mathematics, Institute of Mathematics, CASDuo LiYau Mathematics Science Center
mathscidoc:1609.01006
In this paper, we show that if the
tangent bundle of a smooth projective variety is strictly nef, then
it is isomorphic to a projective space; if a projective variety
$X^n$ $(n>4)$ has strictly nef $\Lambda^2 TX$, then it is
isomorphic to $\P^n$ or quadric $\Q^n$. We also prove that on
elliptic curves, strictly nef vector bundles are ample, whereas
there exist Hermitian flat and strictly nef vector bundles on any
smooth curve with genus $g\geq 2$.
@inproceedings{杨晓奎characterizations,
title={Characterizations of projective spaces and quadrics by strictly nef bundles},
author={杨晓奎, and Duo Li},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160922165750734340044},
}
杨晓奎, and Duo Li. Characterizations of projective spaces and quadrics by strictly nef bundles. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160922165750734340044.