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arXiv · 1410.8457

Universal D-modules and stacks of \'etale germs of n-dimensional varieties

Emily Cliff
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Abstract

We introduce stacks classifying \'etale germs of pointed n-dimensional varieties. We show that quasi-coherent sheaves on these stacks are universal D- and O-modules. We state and prove a relative version of Artin's approximation theorem, and as a consequence identify our stacks with classifying stacks of automorphism groups of the n-dimensional formal disc. We introduce the notion of convergent universal modules, and study them in terms of these stacks and the representation theory of the automorphism groups.

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Emily Cliff. 2014-10-30. Universal D-modules and stacks of \'etale germs of n-dimensional varieties. https://arxiv.org/abs/1410.8457

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