On the relative opers in dimension one
Differential Geometry
2022-06-22 v1 Algebraic Geometry
Abstract
We investigate the relative opers over the complex analytic family of compact complex manifolds of relative dimension one. We introduce the notion of relative opers arising from the second fundamental form associated with a relative holomorphic connection. We also investigate the relative differential operators over the complex analytic family of compact complex manifolds whose symbol is the identity automorphism. We show that the set of equivalent relative opers arising from the second fundamental form is in bijective correspondence with the set of equivalent relative differential operators whose symbol is the identity automorphism.
Cite
@article{arxiv.2201.08055,
title = {On the relative opers in dimension one},
author = {Anoop Singh and Abhitosh Upadhyay},
journal= {arXiv preprint arXiv:2201.08055},
year = {2022}
}