On Cohen--Macaulay modules over the Weyl algebra

2023/09/11 by Lin, Kuei-Nuan, Hsiao, Jen-Chieh
#13C14 #13D07 #14M25 #16E99 #16W70 #33C70 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13N10 #Rings and Algebras (math.RA) #Secondary 32C38

paper · doi:10.48550/arxiv.2309.05864

Abstract

We propose a definition of Cohen--Macaulay modules over the Weyl algebra D and give a sufficient condition for a GKZ A-hypergeometric D-module to be Cohen--Macaulay.

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