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.
| Author: | Lucie Devey |
|---|---|
| URN: | urn:nbn:de:hebis:30:3-709866 |
| DOI: | https://doi.org/10.48550/arXiv.2209.12448 |
| ArXiv Id: | http://arxiv.org/abs/2209.12448 |
| Document Type: | Preprint |
| Language: | English |
| 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 |
| HeBIS-PPN: | 509771262 |
| Institutes: | Informatik und Mathematik / Mathematik |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Sammlungen: | Universitätspublikationen |
| Licence (German): |  Deutsches Urheberrecht |
