Standard

Superintegrable systems and Riemann-Roch theorem. / Tsiganov, A. V.

In: Journal of Mathematical Physics, Vol. 61, No. 1, 012701, 2020.

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

Harvard

Tsiganov, AV 2020, 'Superintegrable systems and Riemann-Roch theorem', Journal of Mathematical Physics, vol. 61, no. 1, 012701. https://doi.org/10.1063/1.5132869

APA

Tsiganov, A. V. (2020). Superintegrable systems and Riemann-Roch theorem. Journal of Mathematical Physics, 61(1), [012701]. https://doi.org/10.1063/1.5132869

Vancouver

Tsiganov AV. Superintegrable systems and Riemann-Roch theorem. Journal of Mathematical Physics. 2020;61(1). 012701. https://doi.org/10.1063/1.5132869

Author

Tsiganov, A. V. / Superintegrable systems and Riemann-Roch theorem. In: Journal of Mathematical Physics. 2020 ; Vol. 61, No. 1.

BibTeX

@article{6125e34ea4b44314a3562a324f615aa4,
title = "Superintegrable systems and Riemann-Roch theorem",
abstract = "In algebraic geometry, there is a reduction algorithm that transforms the unreduced divisor into a unique reduced divisor, which existence is guaranteed by the Riemann-Roch theorem. We discuss application of this algorithm to construction of finite-dimensional superintegrable systems with n degrees of freedom identifying coordinates of the reduced divisor with integrals of motion.",
author = "Tsiganov, {A. V.}",
year = "2020",
doi = "10.1063/1.5132869",
language = "English",
volume = "61",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics",
number = "1",

}

RIS

TY - JOUR

T1 - Superintegrable systems and Riemann-Roch theorem

AU - Tsiganov, A. V.

PY - 2020

Y1 - 2020

N2 - In algebraic geometry, there is a reduction algorithm that transforms the unreduced divisor into a unique reduced divisor, which existence is guaranteed by the Riemann-Roch theorem. We discuss application of this algorithm to construction of finite-dimensional superintegrable systems with n degrees of freedom identifying coordinates of the reduced divisor with integrals of motion.

AB - In algebraic geometry, there is a reduction algorithm that transforms the unreduced divisor into a unique reduced divisor, which existence is guaranteed by the Riemann-Roch theorem. We discuss application of this algorithm to construction of finite-dimensional superintegrable systems with n degrees of freedom identifying coordinates of the reduced divisor with integrals of motion.

UR - http://www.scopus.com/inward/record.url?scp=85078237174&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/772e6b8a-b719-3376-a088-41a5a8d74b9d/

U2 - 10.1063/1.5132869

DO - 10.1063/1.5132869

M3 - Article

AN - SCOPUS:85078237174

VL - 61

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 1

M1 - 012701

ER -

ID: 51237516