TY - JOUR

T1 - Reduction of Divisors and the Clebsch System

AU - Tsiganov, Andrey V.

N1 - Publisher Copyright: © 2022, Pleiades Publishing, Ltd.

PY - 2022/5/1

Y1 - 2022/5/1

N2 - 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 a reduced divisor on thespectral curve of 3 × 3 Lax matrix having a natural generalization to gl *(n) case.

AB - 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 a reduced divisor on thespectral curve of 3 × 3 Lax matrix having a natural generalization to gl *(n) case.

KW - Lax matrices

KW - poles of the Baker – Akhiezer function

KW - reduction of divisors

UR - http://www.scopus.com/inward/record.url?scp=85131653603&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/0b0b9bfe-eebf-378a-b214-62c0a076e0e7/

U2 - 10.1134/S1560354722030030

DO - 10.1134/S1560354722030030

M3 - Article

VL - 27

SP - 307

EP - 319

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

SN - 1560-3547

IS - 3

ER -