Characterization of projective spaces by Seshadri constants

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 $n$.

Minor changes. To appear in Mathematische Zeitschrift

Cited by in corpus (3)

• Fano varieties with large Seshadri constants
• Higher Codimensional Alpha Invariants and Characterization of Projective Spaces
• Sharp bounds on the height of K-semistable Fano varieties I, the toric case