On Treibich-Verdier curves
Algebraic Geometry
2025-06-10 v3
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.
Cite
@article{arxiv.2308.00959,
title = {On Treibich-Verdier curves},
author = {Edoardo Sernesi},
journal= {arXiv preprint arXiv:2308.00959},
year = {2025}
}
Comments
Minor corrections of the version published on Pure and Applied Mathematics Quarterly 20 (2024)