Mumford Tate groups and the Hodge conjecture
Algebraic Geometry
2023-01-04 v1
Abstract
In this article we study the (cohomological) Hodge conjecture for singular varieties. We prove the conjecture for simple normal crossing varieties that can be embedded in a family where the Mumford-Tate group remains constant. We show how to produce such families. Furthermore, we show for varieties with worse singularities the conjecture can be expressed solely in terms of the algebraic classes.
Cite
@article{arxiv.2301.01005,
title = {Mumford Tate groups and the Hodge conjecture},
author = {Ananyo Dan and Inder Kaur},
journal= {arXiv preprint arXiv:2301.01005},
year = {2023}
}
Comments
22 pages