English

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

Algebraic Geometry 2024-04-19 v2

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.

Keywords

Cite

@article{arxiv.2208.00871,
  title  = {Prolongation of regular singular connections on punctured affine line over a Henselian ring},
  author = {Phùng Hô Hai and João Pedro dos Santos and Pham Thanh Tâm and Đào Văn Thinh},
  journal= {arXiv preprint arXiv:2208.00871},
  year   = {2024}
}

Comments

16 pages, final version, to appear in Communications in Algebra