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arXiv · 2011.10409

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

S. Manikandan·Anoop Singh
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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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S. Manikandan, Anoop Singh. 2020-11-20. A criterion for the existence of logarithmic connections on curves over a perfect field. https://arxiv.org/abs/2011.10409

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