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.
Acknowledgments
We would like to thank the anonymous referee for his/her careful reading, pointing out a mistake in a previous version, and constructive suggestions leading to a significant improvement of our work.