Special Divisors on Real Trigonal Curves
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912678646120448 |
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| author | Akyar, Turgay |
| author_facet | Akyar, Turgay |
| contents | In this paper we examine the topology of Brill-Noether varieties associated to real trigonal curves. More precisely, we aim to count the connected components of the real locus of the varieties parametrizing linear systems of degree $d$ and dimension at least $r$. We do this count when the relations $m=g-d+r-1\leq d-2r-1$ are satisfied, where $m$ is the Maroni invariant and $g$ is the genus of the curve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_04115 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Special Divisors on Real Trigonal Curves Akyar, Turgay Algebraic Geometry 14H51, 14P25 In this paper we examine the topology of Brill-Noether varieties associated to real trigonal curves. More precisely, we aim to count the connected components of the real locus of the varieties parametrizing linear systems of degree $d$ and dimension at least $r$. We do this count when the relations $m=g-d+r-1\leq d-2r-1$ are satisfied, where $m$ is the Maroni invariant and $g$ is the genus of the curve. |
| title | Special Divisors on Real Trigonal Curves |
| topic | Algebraic Geometry 14H51, 14P25 |
| url | https://arxiv.org/abs/2412.04115 |