On Treibich-Verdier curves
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866908397859766272 |
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| author | Sernesi, Edoardo |
| author_facet | Sernesi, Edoardo |
| contents | We survey some properties of a class of curves lying on certain elliptic ruled surfaces, studied by A. Treibich and J.L. Verdier in connection with elliptic solitons and KP equations. In particular we discuss their Brill-Noether generality, proved by A. Treibich, and we show that they are limits of hyperplane sections of K3 surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_00959 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On Treibich-Verdier curves Sernesi, Edoardo Algebraic Geometry We survey some properties of a class of curves lying on certain elliptic ruled surfaces, studied by A. Treibich and J.L. Verdier in connection with elliptic solitons and KP equations. In particular we discuss their Brill-Noether generality, proved by A. Treibich, and we show that they are limits of hyperplane sections of K3 surfaces. |
| title | On Treibich-Verdier curves |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2308.00959 |