The Prym-canonical Clifford index
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915781426544640 |
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| author | Lelli-Chiesa, Margherita Miseri, Martina |
| author_facet | Lelli-Chiesa, Margherita Miseri, Martina |
| contents | We introduce two new invariants of Prym curves, the Prym-canonical Clifford index and the Prym-canonical Clifford dimension. The former is a nonnegative integer (according to Prym-Clifford's theorem), while the latter is a pair of nonnegative ordered integers. We classify Prym curves with Prym-canonical Clifford index equal to 0,1,2. By specialization to hyperelliptic curves, we compute the Prym-canonical Clifford index of a general Prym curve and show that its Prym-canonical Clifford dimension is (0,0). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_07232 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Prym-canonical Clifford index Lelli-Chiesa, Margherita Miseri, Martina Algebraic Geometry We introduce two new invariants of Prym curves, the Prym-canonical Clifford index and the Prym-canonical Clifford dimension. The former is a nonnegative integer (according to Prym-Clifford's theorem), while the latter is a pair of nonnegative ordered integers. We classify Prym curves with Prym-canonical Clifford index equal to 0,1,2. By specialization to hyperelliptic curves, we compute the Prym-canonical Clifford index of a general Prym curve and show that its Prym-canonical Clifford dimension is (0,0). |
| title | The Prym-canonical Clifford index |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2602.07232 |