Superintegrable systems and Riemann-Roch theorem

Research output

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 languageEnglish
Article number012701
JournalJournal of Mathematical Physics
Volume61
Issue number1
Early online date7 Jan 2020
DOIs
Publication statusPublished - 2020

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Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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