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

Phùng Hô Hai (1) , João Pedro dos Santos (2) , Phạm Thanh Tâm (3) , Đào Văn Thịnh (1)

1 VAST - Vietnam Academy of Science and Technology
2 IMAG - Institut Montpelliérain Alexander Grothendieck
3 Hanoi Pedagogical University 2

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.

Keywords: 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)

Domains: General Mathematics [math.GM]

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⟩