Seshadri constants and the generation of jets
Algebraic Geometry
2009-02-18 v1
Abstract
In this paper we explore the connection between Seshadri constants and the generation of jets. It is well-known that one way to view Seshadri constants is to consider them as measuring the rate of growth of the number of jets that multiples of a line bundle generate. Here we ask, conversely, what we can say about the number of jets once the Seshadri constant is known. As an application of our results, we prove a characterization of projective space among all Fano varieties in terms of Seshadri constants.
Cite
@article{arxiv.0902.2863,
title = {Seshadri constants and the generation of jets},
author = {Thomas Bauer and Tomasz Szemberg},
journal= {arXiv preprint arXiv:0902.2863},
year = {2009}
}