English

Monodromy at infinity of $A$-hypergeometric functions and toric compactifications

Algebraic Geometry 2008-12-04 v1 Analysis of PDEs

Abstract

We study AA-hypergeometric functions introduced by Gelfand-Kapranov-Zelevinsky and prove a formula for the eigenvalues of their monodromy automorphisms defined by the analytic continuaions along large loops contained in complex lines parallel to the coordinate axes. A method of toric compactifications will be used to prove our main theorem.

Cite

@article{arxiv.0812.0652,
  title  = {Monodromy at infinity of $A$-hypergeometric functions and toric compactifications},
  author = {Kiyoshi Takeuchi},
  journal= {arXiv preprint arXiv:0812.0652},
  year   = {2008}
}

Comments

14 pages

R2 v1 2026-06-21T11:47:49.452Z