Two-pointed Prym-Brill-Noether Loci and coupled Prym-Petri theorem
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866913667239378944 |
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| author | Jeon, Minyoung |
| author_facet | Jeon, Minyoung |
| contents | We establish two-pointed Prym-Brill-Noether loci with special vanishing at two points, and determine their K-theory classes when the dimensions are as expected. The classes are derived by the applications of a formula for the K-theory of certain vexillary degeneracy loci in type D. In particular, we show a two-pointed version of Prym-Petri theorem on the expected dimension in the general case, with a coupled Prym-Petri map. Our approach is inspired by the work on pointed cases by Tarasca, and we generalize unpointed cases by De Concini-Pragacz and Welters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_02642 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Two-pointed Prym-Brill-Noether Loci and coupled Prym-Petri theorem Jeon, Minyoung Algebraic Geometry 14H40, 14H51, 14M15, 14H10, 14C25, 19E20 We establish two-pointed Prym-Brill-Noether loci with special vanishing at two points, and determine their K-theory classes when the dimensions are as expected. The classes are derived by the applications of a formula for the K-theory of certain vexillary degeneracy loci in type D. In particular, we show a two-pointed version of Prym-Petri theorem on the expected dimension in the general case, with a coupled Prym-Petri map. Our approach is inspired by the work on pointed cases by Tarasca, and we generalize unpointed cases by De Concini-Pragacz and Welters. |
| title | Two-pointed Prym-Brill-Noether Loci and coupled Prym-Petri theorem |
| topic | Algebraic Geometry 14H40, 14H51, 14M15, 14H10, 14C25, 19E20 |
| url | https://arxiv.org/abs/2309.02642 |