Delta-matroids and toric degenerations in OG(n,2n+1)
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911108904779776 |
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| author | Chen, Chen Lian, Carl |
| author_facet | Chen, Chen Lian, Carl |
| contents | We construct an explicit, embedded degeneration of the general torus orbit closure in the maximal orthogonal Grassmannian OG(n,2n+1) into a union of Richardson varieties. In particular, we deduce a formula for the cohomology class of the torus orbit closure, as a sum of products of Schubert classes. The moment map images of the degenerate pieces are the base polytopes of their underlying delta-matroids, and give a polyhedral decomposition of the unit hypercube, which had previously been studied by Chen-Sanchez-Veliz-Ying. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_16133 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Delta-matroids and toric degenerations in OG(n,2n+1) Chen, Chen Lian, Carl Algebraic Geometry Combinatorics We construct an explicit, embedded degeneration of the general torus orbit closure in the maximal orthogonal Grassmannian OG(n,2n+1) into a union of Richardson varieties. In particular, we deduce a formula for the cohomology class of the torus orbit closure, as a sum of products of Schubert classes. The moment map images of the degenerate pieces are the base polytopes of their underlying delta-matroids, and give a polyhedral decomposition of the unit hypercube, which had previously been studied by Chen-Sanchez-Veliz-Ying. |
| title | Delta-matroids and toric degenerations in OG(n,2n+1) |
| topic | Algebraic Geometry Combinatorics |
| url | https://arxiv.org/abs/2507.16133 |