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

Published 20 Nov 2020 in math.AG | (2011.10409v1)

Abstract: 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.

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