Spectral curves of the hyperelliptic Hitchin systems

Abstract

A description of the class of spectral curves, and explicit formulas for algebraic-geometric action-angle coordinates are obtained for the Hitchin systems on hyperelliptic curves, for any complex simple Lie algebra of the types $A_l$, $B_l$, $C_l$.

arXiv commentLaTeX, 13 pages

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Cited by in corpus (1)

• Separation of variables for type $D_n$ Hitchin systems on hyperelliptic curves