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

S. Manikandan () and Anoop Singh ()
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S. Manikandan: Indian Institute of Science Education and Research, Tirupati
Anoop Singh: Tata Institute of Fundamental Research

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 2, 330-339

Abstract: 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.

Keywords: Perfect field; Logarithmic connections; Atiyah–Weil criterion; 53B15; 14H60 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13226-021-00008-9

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