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arXiv · 2509.17564

On the Tannakian group scheme of $\mathcal{D}$-modules

Xiaodong Yi
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Abstract

We prove a Lefschetz theorem for the Tannakian group scheme of $\mathcal{D}$-modules, in arbitrary characteristic. In characteristic $0$, We prove a Künneth formula for the Tannakian group scheme of regular singular integrable connections, and disprove it for the Tannakian group scheme of all integrable connections without any regularity assumption.

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Xiaodong Yi. 2025-11-04. On the Tannakian group scheme of $\mathcal{D}$-modules. https://arxiv.org/abs/2509.17564

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