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Hodge theory of matroids by star subdivisions Hsiao, Yun Ping
Abstract
It is known that the Chow ring of a matroid satisfies the Hard Lefschetz property and Hodge Riemann relations. We provide a proof of this theorem by decomposition of the deletion operation into star subdivisions at two dimensional cones. This gives a simple combinatorial proof which avoids intersection cohomology or algebraic geometry.
Item Metadata
| Title |
Hodge theory of matroids by star subdivisions
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| Creator | |
| Supervisor | |
| Publisher |
University of British Columbia
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| Date Issued |
2025
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| Description |
It is known that the Chow ring of a matroid satisfies the Hard Lefschetz
property and Hodge Riemann relations. We provide a proof of this theorem
by decomposition of the deletion operation into star subdivisions at two
dimensional cones. This gives a simple combinatorial proof which avoids
intersection cohomology or algebraic geometry.
|
| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2025-04-23
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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 |
10.14288/1.0448523
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Graduation Date |
2025-05
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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