Multidegree for bifiltered $D$-modules and hypergeometric systems

TL;DR

This paper revisits the multidegree concept for D-modules, simplifies its presentation, and emphasizes hypergeometric systems to offer computable examples relevant to algebraic analysis.

Contribution

It introduces a simplified approach to multidegree for D-modules and highlights hypergeometric systems as key examples for computation.

Findings

Simplified the multidegree notion for D-modules.

Provided computable examples using hypergeometric systems.

Enhanced understanding of multidegree applications in algebraic analysis.

Abstract

In that paper, we recall the notion of the multidegree for $D$-modules, as exposed in a previous paper, with a slight simplification. A particular emphasis is given on hypergeometric systems, used to provide interesting and computable examples.