Newton–Okounkov bodies of curve classes

  • The purpose of the paper is to initiate the development of the theory of Newton Okounkov bodies of curve classes. Our denition is based on making a fundamental property of NewtonOkounkov bodies hold also in the curve case: the volume of the NewtonOkounkov body of a curve is a volume-type function of the original curve. This construction allows us to conjecture a new relation between NewtonOkounkov bodies, we prove it in certain cases.

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Author:Lucie Devey
ArXiv Id:
Document Type:Preprint
Date of Publication (online):2022/09/26
Date of first Publication:2022/09/26
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2023/01/21
Page Number:26
Institutes:Informatik und Mathematik / Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):License LogoDeutsches Urheberrecht