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arXiv · 1507.04339

Infinitesimal Newton-Okounkov bodies and jet separation

Alex Küronya·Victor Lozovanu
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Abstract

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.

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Alex Küronya, Victor Lozovanu. 2015-07-15. Infinitesimal Newton-Okounkov bodies and jet separation. https://arxiv.org/abs/1507.04339

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