### 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.

Original language | English |
---|---|

Article number | 012701 |

Journal | Journal of Mathematical Physics |

Volume | 61 |

Issue number | 1 |

Early online date | 7 Jan 2020 |

DOIs | |

Publication status | Published - 2020 |

### Fingerprint

### Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics