Fano varieties with large Seshadri constants

Abstract

We show that the set of Fano varieties (with arbitrary singularities) whose anticanonical divisors have large Seshadri constants satisfies certain weak and birational boundedness. We also classify singular Fano varieties of dimension $n$ whose anticanonical divisors have Seshadri constants at least $n$, generalizing an earlier result of Liu and the author.

26 pages; revised version. Accepted by Adv. Math

References in corpus (2)

• Characterization of projective spaces by Seshadri constants
• Frobenius-Seshadri constants and characterizations of projective space

Cited by in corpus (2)

• Optimal destabilization of K-unstable Fano varieties via stability thresholds
• Seshadri Constants and Fujita's Conjecture via Positive Characteristic Methods