Multiprojective Seshadri stratifications for Schubert varieties and standard monomial theory
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913505513308160 |
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| author | Müller, Henrik |
| author_facet | Müller, Henrik |
| contents | Using the language of Seshadri stratifications we develop a geometrical interpretation of Lakshmibai-Seshadri-tableaux and their associated standard monomial bases. These tableaux are a generalization of Young-tableaux and De-Concini-tableaux to all Dynkin types. More precisely, we construct filtrations of multihomogeneous coordinate rings of Schubert varieties, such that the subquotients are one-dimensional and indexed by standard tableaux. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_11488 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multiprojective Seshadri stratifications for Schubert varieties and standard monomial theory Müller, Henrik Algebraic Geometry Combinatorics Representation Theory Using the language of Seshadri stratifications we develop a geometrical interpretation of Lakshmibai-Seshadri-tableaux and their associated standard monomial bases. These tableaux are a generalization of Young-tableaux and De-Concini-tableaux to all Dynkin types. More precisely, we construct filtrations of multihomogeneous coordinate rings of Schubert varieties, such that the subquotients are one-dimensional and indexed by standard tableaux. |
| title | Multiprojective Seshadri stratifications for Schubert varieties and standard monomial theory |
| topic | Algebraic Geometry Combinatorics Representation Theory |
| url | https://arxiv.org/abs/2409.11488 |