paper

On Treibich-Verdier curves

arXiv:2308.00959

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.

Minor corrections of the version published on Pure and Applied Mathematics Quarterly 20 (2024)

On Treibich-Verdier curves · wovepaper