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arXiv · 2108.06321

On the relative logarithmic connections and relative residue formula

Snehajit Misra·Anoop Singh
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Abstract

We investigate the relative logarithmic connections on a holomorphic vector bundle over a complex analytic family. We give a sufficient condition for the existence of a relative logarithmic connection on a holomorphic vector bundle singular over a relative simple normal crossing divisor. We define the relative residue of relative logarithmic connection and express relative Chern classes of a holomorphic vector bundle in terms of relative residues.

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Snehajit Misra, Anoop Singh. 2021-08-13. On the relative logarithmic connections and relative residue formula. https://arxiv.org/abs/2108.06321

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