We study non-confluent A-hypergeometric systems introduced by Gelfand et al. (Funct Anal Appl 23:94-106, 1989) and prove a formula for the eigenvalues of their monodromy automorphisms defined by the analytic continuations along large loops contained in complex lines parallel to the coordinate axes. The method of toric compactifications introduced in Libgober and Sperber (Compositio Math 95:287-307, 1995) and Matsui and Takeuchi (Mathematische Zeitschrift) will be used to prove our main theorem.
ASJC Scopus subject areas
- 数学 (全般)