Microlocal multiplicity of matroid Schubert varieties
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912183827300352 |
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| author | Wang, Yiyu |
| author_facet | Wang, Yiyu |
| contents | We study the multiplicity number of the characteristic cycle of the intersection complex of the matroid Schubert variety. It is shown to be a combinatorial invariant, and it can be computed by explicit formulas. We also conjecture that the generalization to arbitrary matroid is non-negative. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09654 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Microlocal multiplicity of matroid Schubert varieties Wang, Yiyu Algebraic Geometry Combinatorics We study the multiplicity number of the characteristic cycle of the intersection complex of the matroid Schubert variety. It is shown to be a combinatorial invariant, and it can be computed by explicit formulas. We also conjecture that the generalization to arbitrary matroid is non-negative. |
| title | Microlocal multiplicity of matroid Schubert varieties |
| topic | Algebraic Geometry Combinatorics |
| url | https://arxiv.org/abs/2408.09654 |