Degenerations of Grassmannians via lattice configurations II
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866917740151832576 |
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| author | He, Xiang Zhang, Naizhen |
| author_facet | He, Xiang Zhang, Naizhen |
| contents | This paper is a continuation of our study of degenerations of Grassmannians in our last paper, called linked Grassmannians, constructed using convex lattice configurations in Bruhat-Tits buildings. We describe the geometry and topology of linked Grassmannians associated to a larger class of lattice configurations, generalizing the results in the last paper. In doing so, we utilize results on the geometry of quiver Grassmannians and affine Schubert varieties, and make comparison to the study of certain local models of Shimura varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_00158 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Degenerations of Grassmannians via lattice configurations II He, Xiang Zhang, Naizhen Algebraic Geometry This paper is a continuation of our study of degenerations of Grassmannians in our last paper, called linked Grassmannians, constructed using convex lattice configurations in Bruhat-Tits buildings. We describe the geometry and topology of linked Grassmannians associated to a larger class of lattice configurations, generalizing the results in the last paper. In doing so, we utilize results on the geometry of quiver Grassmannians and affine Schubert varieties, and make comparison to the study of certain local models of Shimura varieties. |
| title | Degenerations of Grassmannians via lattice configurations II |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2305.00158 |