$A$-hypergeometric systems that come from geometry

TL;DR

This paper explores the relationship between nonresonant A-hypergeometric systems and geometric structures, identifying which systems are derived from geometric origins through de Rham complexes.

Contribution

It establishes a connection between nonresonant A-hypergeometric systems and geometric origins, providing criteria to identify systems that come from geometry.

Findings

Identifies conditions under which A-hypergeometric systems originate from geometry

Connects hypergeometric systems with de Rham-type complexes

Provides a method to determine geometric origin of these systems

Abstract

We establish some connections between nonresonant $A$-hypergeometric systems and de Rham-type complexes. This allows us to determine which of these $A$-hypergeometric systems "come from geometry."