Realizability of matroid quotients
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910355303694336 |
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| author | Borzì, Alessio |
| author_facet | Borzì, Alessio |
| contents | We characterize the realizability of a quotient of matroids, over an infinite field $K$, in terms of the realizability over $K$ of a single matroid associated to it, called the Higgs major. This result extends to realizability of flag matroids. Further, we provide some applications to the relative realizability problem for Bergman fans in tropical geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_03615 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Realizability of matroid quotients Borzì, Alessio Combinatorics Algebraic Geometry 05B35 (Primary) 14T15 (Secondary) We characterize the realizability of a quotient of matroids, over an infinite field $K$, in terms of the realizability over $K$ of a single matroid associated to it, called the Higgs major. This result extends to realizability of flag matroids. Further, we provide some applications to the relative realizability problem for Bergman fans in tropical geometry. |
| title | Realizability of matroid quotients |
| topic | Combinatorics Algebraic Geometry 05B35 (Primary) 14T15 (Secondary) |
| url | https://arxiv.org/abs/2403.03615 |