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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/209419We study $A$-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.14 pagesAlgebraic GeometryAnalysis of PDEs14M25, 32S40, 32S60, 33C70, 35A27Monodromy at infinity of $A$-hypergeometric functions and toric compactificationstext