English

Monodromy representations of hypergeometric systems with respect to fundamental series solutions

Algebraic Geometry 2015-02-09 v1

Abstract

We study the monodromy representation of the generalized hypergeometric differential equation and that of Lauricella's FCF_C system of hypergeometric differential equations. We use fundamental systems of solutions expressed by the hypergeometric series. We express non-diagonal circuit matrices as reflections with respect to root vectors with all entries 11. We present a simple way to obtain circuit matrices.

Keywords

Cite

@article{arxiv.1502.01826,
  title  = {Monodromy representations of hypergeometric systems with respect to fundamental series solutions},
  author = {Keiji Matsumoto},
  journal= {arXiv preprint arXiv:1502.01826},
  year   = {2015}
}

Comments

25 pages