A criterion for the existence of logarithmic connections on curves over a perfect field

S. Manikandan, Anoop Singh

Published 2020-11-20Version 1

Let $k$ be a perfect field, and $X$ an irreducible smooth projective curve over $k$. We give a criterion for a vector bundle over $X$ to admit a logarithmic connection singular over a finite subset of $X$ with given residues, where residues are assumed to be rigid.