PROLONGATION OF REGULAR-SINGULAR CONNECTIONS ON PUNCTURED AFFINE LINE OVER A HENSELIAN RING - Archive ouverte HAL
Article Dans Une Revue Communications in Algebra Année : 2024

PROLONGATION OF REGULAR-SINGULAR CONNECTIONS ON PUNCTURED AFFINE LINE OVER A HENSELIAN RING

Résumé

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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Dates et versions

hal-04562844 , version 1 (29-04-2024)

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Phùng Hô Hai, João Pedro dos Santos, Phạm Thanh Tâm, Đào Văn Thịnh. PROLONGATION OF REGULAR-SINGULAR CONNECTIONS ON PUNCTURED AFFINE LINE OVER A HENSELIAN RING. Communications in Algebra, 2024, pp.1-15. ⟨10.1080/00927872.2024.2314109⟩. ⟨hal-04562844⟩
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