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

2020/11/20 by Manikandan, S., Singh, Anoop
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2011.10409

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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