Splicing positroid varieties
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914809767788544 |
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| author | Gorsky, Eugene Scroggin, Tonie |
| author_facet | Gorsky, Eugene Scroggin, Tonie |
| contents | We construct an explicit isomorphism between an open subset in the open positroid variety $Π_{k,n}^{\circ}$ in the Grassmannian $\mathrm{Gr}(k,n)$ and the product of two open positroid varieties $Π_{k,n-a+1}^{\circ}\times Π_{k,a+k-1}^{\circ}$. In the respective cluster structures, this isomorphism is given by freezing a certain subset of cluster variables and applying a cluster quasi-equivalence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_15112 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Splicing positroid varieties Gorsky, Eugene Scroggin, Tonie Algebraic Geometry Combinatorics We construct an explicit isomorphism between an open subset in the open positroid variety $Π_{k,n}^{\circ}$ in the Grassmannian $\mathrm{Gr}(k,n)$ and the product of two open positroid varieties $Π_{k,n-a+1}^{\circ}\times Π_{k,a+k-1}^{\circ}$. In the respective cluster structures, this isomorphism is given by freezing a certain subset of cluster variables and applying a cluster quasi-equivalence. |
| title | Splicing positroid varieties |
| topic | Algebraic Geometry Combinatorics |
| url | https://arxiv.org/abs/2405.15112 |