An explicit characterization of calogero-moser systems

Academic Article


  • Combining theorems of Halphen, Floquet, and Picard and a Frobenius type analysis, we characterize rational, meromorphic simply periodic, and elliptic KdV potentials. In particular, we explicitly describe the proper extension of the Airault-McKean-Moser locus associated with these three classes of algebro-geometric solutions of the KdV hierarchy with special emphasis on the case of multiple collisions between the poles of solutions. This solves a problem left open since the mid-1970s.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Gesztesy F; Unterkofler K; Weikard R
  • Start Page

  • 603
  • End Page

  • 656
  • Volume

  • 358
  • Issue

  • 2