Seshadri stratifications and Schubert varieties: a geometric construction of a standard monomial theory
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866911831344283648 |
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| author | Chirivì, Rocco Fang, Xin Littelmann, Peter |
| author_facet | Chirivì, Rocco Fang, Xin Littelmann, Peter |
| contents | A standard monomial theory for Schubert varieties is constructed exploiting (1) the geometry of the Seshadri stratifications of Schubert varieties by their Schubert subvarieties and (2) the combinatorial LS-path character formula for Demazure modules. The general theory of Seshadri stratifications is improved by using arbitrary linearization of the partial order and by weakening the definition of balanced stratification. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_08904 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Seshadri stratifications and Schubert varieties: a geometric construction of a standard monomial theory Chirivì, Rocco Fang, Xin Littelmann, Peter Algebraic Geometry Combinatorics Representation Theory A standard monomial theory for Schubert varieties is constructed exploiting (1) the geometry of the Seshadri stratifications of Schubert varieties by their Schubert subvarieties and (2) the combinatorial LS-path character formula for Demazure modules. The general theory of Seshadri stratifications is improved by using arbitrary linearization of the partial order and by weakening the definition of balanced stratification. |
| title | Seshadri stratifications and Schubert varieties: a geometric construction of a standard monomial theory |
| topic | Algebraic Geometry Combinatorics Representation Theory |
| url | https://arxiv.org/abs/2207.08904 |