The Bergman fan of a polymatroid
Fuente:
arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866929213258334208 |
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| author | Crowley, Colin Huh, June Larson, Matt Simpson, Connor Wang, Botong |
| author_facet | Crowley, Colin Huh, June Larson, Matt Simpson, Connor Wang, Botong |
| contents | We introduce the Bergman fan of a polymatroid and prove that the Chow ring of the Bergman fan is isomorphic to the Chow ring of the polymatroid. Using the Bergman fan, we establish the Kähler package for the Chow ring of the polymatroid, recovering and strengthening a result of Pagaria-Pezzoli. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_08764 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Bergman fan of a polymatroid Crowley, Colin Huh, June Larson, Matt Simpson, Connor Wang, Botong Combinatorics Algebraic Geometry We introduce the Bergman fan of a polymatroid and prove that the Chow ring of the Bergman fan is isomorphic to the Chow ring of the polymatroid. Using the Bergman fan, we establish the Kähler package for the Chow ring of the polymatroid, recovering and strengthening a result of Pagaria-Pezzoli. |
| title | The Bergman fan of a polymatroid |
| topic | Combinatorics Algebraic Geometry |
| url | https://arxiv.org/abs/2207.08764 |