Periodic de Rham bundles over curves
Algebraic Geometry
2022-10-04 v2
Abstract
In this article, we introduce the notion of periodic de Rham bundles over smooth complex curves. We prove that motivic de Rham bundles over smooth complex curves are periodic. We conjecture that irreducible periodic de Rham bundles over smooth complex curves are motivic. We show that the conjecture holds for rank one objects and rigid objects.
Cite
@article{arxiv.2011.03268,
title = {Periodic de Rham bundles over curves},
author = {Raju Krishnamoorthy and Mao Sheng},
journal= {arXiv preprint arXiv:2011.03268},
year = {2022}
}
Comments
42 pages. This is the second version. Comments are very welcome!