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arXiv · 2101.09993

Reduction of divisors and Clebsch system

A. V. Tsiganov
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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 $gl^*(n)$ case.

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A. V. Tsiganov. 2022-04-19. Reduction of divisors and Clebsch system. https://doi.org/10.1134/s1560354722030030

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