On the relative logarithmic connections and relative residue formula

Autor: Misra, Snehajit, Singh, Anoop
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: Comments are welcome
Databáze: arXiv