Seshadri constants and the generation of jets

Details Seshadri constants and the generation of jets Seshadri constants and the generation of jets

2009-02-17

arxiv.org/abs/0902.2863v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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