Spectral Curves of the Hyperelliptic Hitchin Systems


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Abstract

This paper describes a class of spectral curves and gives explicit formulas for the Darboux coordinates of the Hitchin systems of types Al, Bl, and Cl on hyperelliptic curves. The current state of the problem in the case of the systems of type Dl is described.

About the authors

O. K. Sheinman

Steklov Mathematical Institute of Russian Academy of Sciences

Author for correspondence.
Email: sheinman@mi-ras.ru
Russian Federation, Moscow

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