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Prolongation of regular-singular connections on punctured affine line over a Henselian ring
Journal article   Open access   Peer reviewed

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

Phùng Hô Hai, João Pedro dos Santos, Phạm Thanh Tâm and Đào Văn Thịnh
Communications in Algebra, Vol.52(8)
17/04/2024

Abstract

April 8 2024 Regular-singular connection Henselian discrete valuation ring Deligne's equivalence (MSC 2020: 12H05 13N15 18M05) April 8 2024 Regular-singular connection Henselian discrete valuation ring Deligne's equivalence (MSC 2020: 12H05 13N15 18M05)
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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