A Zariski theorem for monodromy of $A$-hypergeometric systems

• Main Authors: Forsgård, Jens, Matusevich, Laura Felicia
• Format: Journal Article
• Language: English
• Published: 01.05.2020
• Subjects: Mathematics - Algebraic Geometry; Mathematics - Algebraic Topology; Mathematics - Analysis of PDEs; Mathematics - Number Theory

We give conditions under which the monodromy group of an $A$-hypergeometric system is invariant under modifications of the collection of characters $A$. The key ingredient is a Zariski--Lefschetz type theorem for principal $A$-determinants.