Hodge theory of matroids by star subdivisions
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914036200767488 |
|---|---|
| author | Hsiao, Andy |
| author_facet | Hsiao, Andy |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10909 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hodge theory of matroids by star subdivisions Hsiao, Andy Combinatorics 05B35 (Primary), 52B40 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. |
| title | Hodge theory of matroids by star subdivisions |
| topic | Combinatorics 05B35 (Primary), 52B40 |
| url | https://arxiv.org/abs/2509.10909 |