Graded Holonomic D-modules on Monomial Curves

2018/03/12 by Eriksen, Eivind
#13N10 #14F10 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1803.04367

Abstract

In this paper, we study the holonomic D-modules when D is the ring of k-linear differential operators on A = k[Γ], the coordinate ring of an affine monomial curve over the complex numbers k = \mathbb C. In particular, we consider the graded case, and classify the simple graded D-modules and compute their extensions. The classification over the first Weyl algebra D = A₁(k) is obtained as a special case.

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