Local positivity of linear series on surfaces

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Alex Küronya
  • Victor Lozovanu

Organisationseinheiten

Externe Organisationen

  • Goethe-Universität Frankfurt am Main
  • Budapest University of Technology and Economics
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Details

OriginalspracheEnglisch
Seiten (von - bis)1-34
Seitenumfang34
FachzeitschriftAlgebra and Number Theory
Jahrgang12
Ausgabenummer1
PublikationsstatusVeröffentlicht - 13 März 2018

Abstract

We study asymptotic invariants of linear series on surfaces with the help of Newton-Okounkov polygons. Our primary aim is to understand local positivity of line bundles in terms of convex geometry. We work out characterizations of ample and nef line bundles in terms of their Newton-Okounkov bodies, treating the infinitesimal case as well. One of the main results is a description of moving Seshadri constants via infinitesimal Newton-Okounkov polygons. As an illustration of our ideas we reprove results of Ein-Lazarsfeld on Seshadri constants on surfaces.

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Local positivity of linear series on surfaces. / Küronya, Alex; Lozovanu, Victor.
in: Algebra and Number Theory, Jahrgang 12, Nr. 1, 13.03.2018, S. 1-34.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Küronya A, Lozovanu V. Local positivity of linear series on surfaces. Algebra and Number Theory. 2018 Mär 13;12(1):1-34. doi: 10.48550/arXiv.1411.6205, 10.2140/ant.2018.12.1
Küronya, Alex ; Lozovanu, Victor. / Local positivity of linear series on surfaces. in: Algebra and Number Theory. 2018 ; Jahrgang 12, Nr. 1. S. 1-34.
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