Characterization of projective spaces by Seshadri constants

Yuchen Liu, Ziquan Zhuang

Published 2016-07-19Version 1

We prove that an $n$-dimensional complex projective variety is isomorphic to $\mathbb{P}^n$ if the Seshadri constant of the anti-canonical divisor at some smooth point is greater than $n$. We also classify complex projective varieties with Seshadri constants equal to $n$.