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Mixed volumes of matroids by flips Yang, Kai Hsiang
Abstract
Matroid flips are an operation on simplicial fans introduced by Adiprasito, Huh, and Katz. They used matroid flips to prove the Poincaré Duality, Hard Lefschetz property, and Hodge Riemann relations for Chow rings of matroids. In the case of matroids, the mixed volume polynomial is a homogeneous polynomial which encodes all the data of the Chow ring. We provide a formula, using matroid flips, for the mixed volume of a matroid.
Item Metadata
| Title |
Mixed volumes of matroids by flips
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| Creator | |
| Supervisor | |
| Publisher |
University of British Columbia
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| Date Issued |
2025
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| Description |
Matroid flips are an operation on simplicial fans introduced by Adiprasito, Huh, and Katz. They used matroid flips to prove the Poincaré Duality, Hard Lefschetz property, and Hodge Riemann relations for Chow rings of matroids. In the case of matroids, the mixed volume polynomial is a homogeneous polynomial which encodes all the data of the Chow ring. We provide a formula, using matroid flips, for the mixed volume of a matroid.
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2025-09-03
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0450019
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| URI | |
| Degree (Theses) | |
| Program (Theses) | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Graduation Date |
2025-11
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| Campus | |
| Scholarly Level |
Graduate
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International