English

Irreducibility of A-hypergeometric systems

Algebraic Geometry 2010-09-02 v2

Abstract

We give an elementary proof of the Gel'fand-Kapranov-Zelevinsky theorem that non-resonant A-hypergeometric systems are irreducible. We also provide a proof of a converse statement In this second version we have removed the condition of saturatedness in Theorems 1.2 and 1.3. In Theorem 1.3 it is replaced by the condition of Cohen-Macaulayness of the toric ideal.

Keywords

Cite

@article{arxiv.1007.4644,
  title  = {Irreducibility of A-hypergeometric systems},
  author = {F. Beukers},
  journal= {arXiv preprint arXiv:1007.4644},
  year   = {2010}
}
R2 v1 2026-06-21T15:53:26.955Z