Schubert valuations on Grassmann varieties
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866916157501472768 |
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| author | Chirivì, Rocco Fang, Xin Littelmann, Peter |
| author_facet | Chirivì, Rocco Fang, Xin Littelmann, Peter |
| contents | The goal of the paper is twofold: on one side it provides an order structure on the set of all maximal chains in the Bruhat poset of Schubert varieties in a Grassmann variety; on the other hand, using this order structure, it works out explicit formulae for the valuation and the Newton-Okounkov body associated to each maximal chain appearing in the framework of Seshadri stratification. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_08071 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Schubert valuations on Grassmann varieties Chirivì, Rocco Fang, Xin Littelmann, Peter Algebraic Geometry Combinatorics The goal of the paper is twofold: on one side it provides an order structure on the set of all maximal chains in the Bruhat poset of Schubert varieties in a Grassmann variety; on the other hand, using this order structure, it works out explicit formulae for the valuation and the Newton-Okounkov body associated to each maximal chain appearing in the framework of Seshadri stratification. |
| title | Schubert valuations on Grassmann varieties |
| topic | Algebraic Geometry Combinatorics |
| url | https://arxiv.org/abs/2403.08071 |