Tropical linear systems and the realizability problem
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909660674523136 |
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| author | Dupraz, Matthew |
| author_facet | Dupraz, Matthew |
| contents | This thesis delves into the geometry of abstract tropical curves, exploring their complete linear system and associated tropical submodules. We establish a lower bound on the dimension of tropical submodules in terms of the Baker-Norine rank. Furthermore, the work provides a characterization of realizable canonical divisors, addressing a fundamental problem in connecting tropical geometry to its algebraic counterpart. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_21268 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tropical linear systems and the realizability problem Dupraz, Matthew Algebraic Geometry Combinatorics This thesis delves into the geometry of abstract tropical curves, exploring their complete linear system and associated tropical submodules. We establish a lower bound on the dimension of tropical submodules in terms of the Baker-Norine rank. Furthermore, the work provides a characterization of realizable canonical divisors, addressing a fundamental problem in connecting tropical geometry to its algebraic counterpart. |
| title | Tropical linear systems and the realizability problem |
| topic | Algebraic Geometry Combinatorics |
| url | https://arxiv.org/abs/2506.21268 |