On normal Seshadri stratifications
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866915471256715264 |
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| author | Chirivì, Rocco Fang, Xin Littelmann, Peter |
| author_facet | Chirivì, Rocco Fang, Xin Littelmann, Peter |
| contents | The existence of a Seshadri stratification on an embedded projective variety provides a flat degeneration of the variety to a union of projective toric varieties, called a semi-toric variety. Such a stratification is said to be normal when each irreducible component of the semi-toric variety is a normal toric variety. In this case, we show that a Gröbner basis of the defining ideal of the semi-toric variety can be lifted to define the embedded projective variety. Applications to Koszul and Gorenstein properties are discussed. Relations between LS-algebras and certain Seshadri stratifications are studied. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_13171 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On normal Seshadri stratifications Chirivì, Rocco Fang, Xin Littelmann, Peter Algebraic Geometry Commutative Algebra The existence of a Seshadri stratification on an embedded projective variety provides a flat degeneration of the variety to a union of projective toric varieties, called a semi-toric variety. Such a stratification is said to be normal when each irreducible component of the semi-toric variety is a normal toric variety. In this case, we show that a Gröbner basis of the defining ideal of the semi-toric variety can be lifted to define the embedded projective variety. Applications to Koszul and Gorenstein properties are discussed. Relations between LS-algebras and certain Seshadri stratifications are studied. |
| title | On normal Seshadri stratifications |
| topic | Algebraic Geometry Commutative Algebra |
| url | https://arxiv.org/abs/2206.13171 |