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arXiv · 2308.00959

On Treibich-Verdier curves

Edoardo Sernesi
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Abstract

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.

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Edoardo Sernesi. 2023-08-02. On Treibich-Verdier curves. https://arxiv.org/abs/2308.00959

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