Weyl closure of hypergeometric systems
Laura Felicia Matusevich
TL;DR
This paper proves that A-hypergeometric and Horn hypergeometric systems are Weyl closed for very generic parameters, advancing understanding of their algebraic structure.
Contribution
It establishes the Weyl closure property for these hypergeometric systems under generic conditions, a novel result in the field.
Findings
A-hypergeometric systems are Weyl closed for very generic parameters.
Horn hypergeometric systems are Weyl closed for very generic parameters.
The result applies to a broad class of hypergeometric systems.
Abstract
We show that A-hypergeometric systems and Horn hypergeometric systems are Weyl closed for very generic parameters.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Advanced Combinatorial Mathematics