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arXiv · 0806.0176

A quotient stack related to the Weyl algebra

S. Paul Smith
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Abstract

Let A denote the ring of differential operators on the affine line with its two usual generators t and d/dt given degrees +1 and -1 respectively. Let X be the stack having coarse moduli space the affine line Spec k[z] and isotropy groups Z/2 at each integer point. Then the category of graded A-modules is equivalent to the category of quasi-coherent sheaves on X. Version 2: corrected typos and deleted appendix at referee's suggestion.

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S. Paul Smith. 2008-06-01. A quotient stack related to the Weyl algebra. https://arxiv.org/abs/0806.0176

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