On normalized Horn systems
Christine Berkesch, Laura Felicia Matusevich, Uli Walther
TL;DR
This paper characterizes when Horn systems of differential equations are regular holonomic, focusing on classical hypergeometric systems, providing insights into their mathematical structure.
Contribution
It introduces a new characterization of the regular holonomicity of Horn systems under a broad hypothesis.
Findings
Identifies conditions for regular holonomicity of Horn systems
Applies to classical hypergeometric systems
Provides a framework for analyzing differential equations
Abstract
We characterize the (regular) holonomicity of Horn systems of differential equations under a hypothesis that captures the most widely studied classical hypergeometric systems.
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