English

Fuchsian equations of type DN

Algebraic Geometry 2007-05-23 v1 Classical Analysis and ODEs

Abstract

We prove that a generic differential operator of type DN is irreducible, regular, (anti)self-adjoint, and has quasiunipotent local monodromies. We prove that the defining matrix of a DN operator can be recovered from the expression of the operator as a polynomial in t and d/dt.

Keywords

Cite

@article{arxiv.math/0701936,
  title  = {Fuchsian equations of type DN},
  author = {Vasily Golyshev and Jan Stienstra},
  journal= {arXiv preprint arXiv:math/0701936},
  year   = {2007}
}