Seshadri constants and the generation of jets

Thomas Bauer,Tomasz Szemberg

doi:10.1016/j.jpaa.2009.03.005

Seshadri constants and the generation of jets

Thomas Bauer, Tomasz Szemberg

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https://doi.org/10.1016/j.jpaa.2009.03.005

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Journal: Journal of Pure and Applied Algebra	Publication Date: Apr 3, 2009
Citations: 31	License type: elsevier-specific: oa user license

Affiliation: Philipps University of Marburg, Institute of Mathematics

#Seshadri Constants #Generation Of Jets + Show 5 more

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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.

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