Reduction of divisors and Clebsch system

Abstract

There are a few Lax matrices of the Clebsch system. Poles of the Baker-Akhiezer function determine the class of equivalent divisors on the corresponding spectral curves. According to the Riemann-Roch theorem, each class has a unique reduced representative. We discuss properties of such reduced divisor on the spectral curve of $3\times 3$ Lax matrix having a natural generalization to $g{l}^{\ast }(n)$ case.

14 pages, no figures, LaTeX with AMS fonts

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Cited by in corpus (2)

• On tensor invariants of the Clebsch system
• Reduction of divisors and Kowalevski top