Reduction of divisors and Kowalevski top

Abstract

In the modern theory of the Kowalevski top there are two elliptic curves introduced by Kowalevski and by Reyman and Semenov-Tian-Shansky. The Kowalevski variables of separation and poles of the Baker-Akhiezer function define two classes of linearly equivalent divisors on these elliptic curves. According to the Riemann-Roch theorem each class has a unique reduced representative and we construct such reduced divisors for the Kowalevski top.

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References in corpus (2)

• Reduction of divisors and Clebsch system
• Reducible Abelian varieties and Lax matrices for Euler's problem of two fixed centres

Cited by in corpus (1)

• Reduction of divisors and Clebsch system