LS Algebras, Valuations and Schubert Varieties
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arXiv
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| Format: | Preprint |
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2022
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| _version_ | 1866916197981749248 |
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| author | Chirivì, Rocco Fang, Xin Littelmann, Peter |
| author_facet | Chirivì, Rocco Fang, Xin Littelmann, Peter |
| contents | In this paper, we propose an algebraic approach via Lakshmibai-Seshadri (LS) algebras to establish a link between standard monomial theories, Newton-Okounkov bodies and valuations. This is applied to Schubert varieties, where this approach is compatible with the one using Seshadri stratifications by the same authors (arXiv:2112.03776), showing that LS paths encode vanishing multiplicities with respect to the web of Schubert varieties. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2203_12992 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | LS Algebras, Valuations and Schubert Varieties Chirivì, Rocco Fang, Xin Littelmann, Peter Algebraic Geometry Commutative Algebra Combinatorics Representation Theory 14M15, 14M25 In this paper, we propose an algebraic approach via Lakshmibai-Seshadri (LS) algebras to establish a link between standard monomial theories, Newton-Okounkov bodies and valuations. This is applied to Schubert varieties, where this approach is compatible with the one using Seshadri stratifications by the same authors (arXiv:2112.03776), showing that LS paths encode vanishing multiplicities with respect to the web of Schubert varieties. |
| title | LS Algebras, Valuations and Schubert Varieties |
| topic | Algebraic Geometry Commutative Algebra Combinatorics Representation Theory 14M15, 14M25 |
| url | https://arxiv.org/abs/2203.12992 |