On the relative logarithmic connections and relative residue formula
Algebraic Geometry
2021-08-16 v1
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.
Keywords
Cite
@article{arxiv.2108.06321,
title = {On the relative logarithmic connections and relative residue formula},
author = {Snehajit Misra and Anoop Singh},
journal= {arXiv preprint arXiv:2108.06321},
year = {2021}
}
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