A structure theorem for syzygies of del Pezzo varieties
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929369452118016 |
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| author | Kim, Yeongrak |
| author_facet | Kim, Yeongrak |
| contents | Using the Buchsbaum-Eisenbud structure theorem for a minimal free resolution of an arithmetically Gorenstein variety, we describe a structure theorem for the highest linear syzygies among quadrics defining a del Pezzo variety. Indeed, such syzygies can be represented as columns of a skew-symmetric matrix whose entries are wedge products of linear forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_00400 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A structure theorem for syzygies of del Pezzo varieties Kim, Yeongrak Algebraic Geometry Commutative Algebra 13D02, 14M05, 13C05 Using the Buchsbaum-Eisenbud structure theorem for a minimal free resolution of an arithmetically Gorenstein variety, we describe a structure theorem for the highest linear syzygies among quadrics defining a del Pezzo variety. Indeed, such syzygies can be represented as columns of a skew-symmetric matrix whose entries are wedge products of linear forms. |
| title | A structure theorem for syzygies of del Pezzo varieties |
| topic | Algebraic Geometry Commutative Algebra 13D02, 14M05, 13C05 |
| url | https://arxiv.org/abs/2406.00400 |