Reduction of Divisors and the Clebsch System

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Reduction of Divisors and the Clebsch System. / Tsiganov, Andrey V.

In: Regular and Chaotic Dynamics, Vol. 27, No. 3, 01.05.2022, p. 307-319.

Research output: Contribution to journal › Article › peer-review

Author

Tsiganov, Andrey V. / Reduction of Divisors and the Clebsch System. In: Regular and Chaotic Dynamics. 2022 ; Vol. 27, No. 3. pp. 307-319.

BibTeX

@article{944c7fb3e0b34c2a9706ae5f5ede4711,

title = "Reduction of Divisors and the 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 a reduced divisor on thespectral curve of 3 × 3 Lax matrix having a natural generalization to gl *(n) case. ",

keywords = "Lax matrices, poles of the Baker – Akhiezer function, reduction of divisors",

author = "Tsiganov, {Andrey V.}",

note = "Publisher Copyright: {\textcopyright} 2022, Pleiades Publishing, Ltd.",

year = "2022",

month = may,

day = "1",

doi = "10.1134/S1560354722030030",

language = "English",

volume = "27",

pages = "307--319",

journal = "Regular and Chaotic Dynamics",

issn = "1560-3547",

publisher = "МАИК {"}Наука/Интерпериодика{"}",

number = "3",

}

RIS

TY - JOUR

T1 - Reduction of Divisors and the Clebsch System

AU - Tsiganov, Andrey V.

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 -

ID: 95730480