Hodge Classes in the Cohomology of Local Systems
Algebraic Geometry
2023-11-02 v1
Abstract
We study the Hodge conjecture for certain families of varieties over arithmetic quotients of balls and Siegel domain of degree two. As a byproduct, we derive formulas for Hodge numbers in terms of automorphic forms.
Keywords
Cite
@article{arxiv.2311.00243,
title = {Hodge Classes in the Cohomology of Local Systems},
author = {Xiaojiang Cheng},
journal= {arXiv preprint arXiv:2311.00243},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2003.00137 by other authors