Superintegrable systems and Riemann-Roch theorem

Research output


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 languageEnglish
Article number012701
JournalJournal of Mathematical Physics
Issue number1
Early online date7 Jan 2020
Publication statusPublished - 2020


Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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