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arXiv · 1607.05743

Characterization of projective spaces by Seshadri constants

Yuchen Liu·Ziquan Zhuang
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Abstract

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 $n$.

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Yuchen Liu, Ziquan Zhuang. 2017-07-11. Characterization of projective spaces by Seshadri constants. https://doi.org/10.1007/s00209-017-1941-9

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