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Seshadri constants of the anticanonical divisors of Fano manifolds with large index by Liu, Jie is a scholarly article available to read on EtoBox.

What is Seshadri constants of the anticanonical divisors of Fano manifolds with large index about?

Seshadri constants, introduced by Demailly, measure the local positivity of a nef divisor at a point. In this paper, we compute the Seshadri constants of the anticanonical divisors of Fano manifolds with coindex at most $3$ at a very general point. As a consequence, if $X$ is a nonsingular Fano threefold which is very general in its deformation family, then $\varepsilon(X,-K_X;x)\leq 1$ for all points $x\in X$ if and only if $\vert-K_X\vert$ is not base point free.

Author

Liu, Jie

Published

2018

Language

EN