On the relative Connections
Algebraic Geometry
2019-11-07 v2
Abstract
We investigate relative connections on a sheaf of modules. A sufficient condition is given for the existence of a relative holomorphic connection on a holomorphic vector bundle over a complex analytic family. We show that the relative Chern classes of a holomorphic vector bundle admitting relative holomorphic connection vanish, if each of the fiber of the complex analytic family is compact and K\"ahler.
Cite
@article{arxiv.1902.10397,
title = {On the relative Connections},
author = {Indranil Biswas and Anoop Singh},
journal= {arXiv preprint arXiv:1902.10397},
year = {2019}
}
Comments
26 pages