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arXiv · 2208.00871

Prolongation of regular singular connections on punctured affine line over a Henselian ring

Phùng Hô Hai·João Pedro dos Santos·Pham Thanh Tâm·Đào Văn Thinh
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Abstract

We generalize Deligne's equivalence between the categories of regular-singular connections on the formal punctured disk and on the punctured affine line to the case where the base is a strictly Henselian discrete valuation ring of equal characteristic 0. We also provide a weaker result when the base is higher dimensional.

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Phùng Hô Hai, João Pedro dos Santos, Pham Thanh Tâm, Đào Văn Thinh. 2022-08-01. Prolongation of regular singular connections on punctured affine line over a Henselian ring. https://doi.org/10.1080/00927872.2024.2314109

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