Combinatorial and inductive methods for the tropical maximal rank conjecture
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2016
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909447777943552 |
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| author | Jensen, David Payne, Sam |
| author_facet | Jensen, David Payne, Sam |
| contents | We produce new combinatorial methods for approaching the tropical maximal rank conjecture, including inductive procedures for deducing new cases of the conjecture on graphs of increasing genus from any given case. Using explicit calculations in a range of base cases, we prove this conjecture for the canonical divisor, and in a wide range of cases for m=3, extending previous results for m=2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1609_01602 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Combinatorial and inductive methods for the tropical maximal rank conjecture Jensen, David Payne, Sam Algebraic Geometry 14T05, 14H51 We produce new combinatorial methods for approaching the tropical maximal rank conjecture, including inductive procedures for deducing new cases of the conjecture on graphs of increasing genus from any given case. Using explicit calculations in a range of base cases, we prove this conjecture for the canonical divisor, and in a wide range of cases for m=3, extending previous results for m=2. |
| title | Combinatorial and inductive methods for the tropical maximal rank conjecture |
| topic | Algebraic Geometry 14T05, 14H51 |
| url | https://arxiv.org/abs/1609.01602 |