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Infinitesimal Newton-Okounkov bodies and jet separation

Küronya, Alex and Lozovanu, V. (2017) Infinitesimal Newton-Okounkov bodies and jet separation. DUKE MATHEMATICAL JOURNAL, 166 (7). pp. 1349-1376. ISSN 0012-7094

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Abstract

In this article 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.

Item Type: Article
Uncontrolled Keywords: POSITIVITY; LINEAR SERIES; RESTRICTED VOLUMES; STABLE BASE LOCI;
Subjects: Q Science / természettudomány > Q1 Science (General) / természettudomány általában
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 25 May 2023 06:59
Last Modified: 25 May 2023 06:59
URI: http://real.mtak.hu/id/eprint/166003

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