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arXiv · 1803.04367

Graded Holonomic D-modules on Monomial Curves

Eivind Eriksen
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Abstract

In this paper, we study the holonomic $D$-modules when $D$ is the ring of $k$-linear differential operators on $A = k[\Gamma]$, 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 $D = A_1(k)$ is obtained as a special case.

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Eivind Eriksen. 2018-03-12. Graded Holonomic D-modules on Monomial Curves. https://arxiv.org/abs/1803.04367

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