Tropical Geometry of Rado Matroids
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910336368508928 |
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| author | Buchanan, Calum Danner, Richard |
| author_facet | Buchanan, Calum Danner, Richard |
| contents | In this note, we characterize the products of simplicial generators for the Chow ring of a loopless matroid, extending a result of Backman, Eur, and Simpson. We prove that the stable intersection of a collection of tropical hyperplanes centered at the origin with the Bergman fan of a matroid is the Bergman fan of the dual of a certain Rado matroid. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04186 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tropical Geometry of Rado Matroids Buchanan, Calum Danner, Richard Combinatorics 05B35 (primary), 52B40, 14T05, 14C17, 14M25 In this note, we characterize the products of simplicial generators for the Chow ring of a loopless matroid, extending a result of Backman, Eur, and Simpson. We prove that the stable intersection of a collection of tropical hyperplanes centered at the origin with the Bergman fan of a matroid is the Bergman fan of the dual of a certain Rado matroid. |
| title | Tropical Geometry of Rado Matroids |
| topic | Combinatorics 05B35 (primary), 52B40, 14T05, 14C17, 14M25 |
| url | https://arxiv.org/abs/2402.04186 |