Infinitesimal Newton-Okounkov bodies and jet separation

In this paper we explore the connection between asymptotic base loci and Newton-Okounkov bodies associated to infinitesimal flags. Analogously to the surface case, we obtain complete characterizations of augmented and restricted base loci. Interestingly enough, an integral part of the argument is a...

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Bibliographic Details
Main Authors Küronya, Alex, Lozovanu, Victor
Format Journal Article
LanguageEnglish
Published 15.07.2015
Subjects
Mathematics - Algebraic Geometry
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Summary:In this paper we explore the connection between asymptotic base loci and Newton-Okounkov bodies associated to infinitesimal flags. Analogously to the surface case, we obtain complete characterizations of augmented and restricted base loci. Interestingly enough, an integral part of the argument is a study of the relationship between certain simplices contained in Newton-Okoukov bodies and jet separation; our results also lead to a convex geometric description of moving Seshadri constants.
DOI:10.48550/arxiv.1507.04339