Multidegree for bifiltered D-modules and hypergeometric systems

2011/10/25 by Rémi Arcadias, Arcadias, Rémi
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Rings and Algebras (math.RA) #math.AP #math.RA

paper · pdf · doi:10.48550/arxiv.1110.5428

arxiv created 2011/10/25 · arxiv updated 2011/10/26

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.

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• Multidegree for bifiltered D-modules
• Torus equivariant D-modules and hypergeometric systems
• Equivariant D-modules
• Bivariate hypergeometric D-modules
• Slopes of a Hypergeometric System Associated to a Monomial Curve