On the closure of the positive Hodge locus
Algebraic Geometry
2020-10-08 v3
Abstract
Given a variation of Hodge structures on a quasi-projective base , whose generic Mumford-Tate group is non-product, we prove that the (countable) union of positive components of the Hodge locus is either an algebraic subvariety of , or is Zariski-dense in .
Keywords
Cite
@article{arxiv.1901.10003,
title = {On the closure of the positive Hodge locus},
author = {Bruno Klingler and Anna Otwinowska},
journal= {arXiv preprint arXiv:1901.10003},
year = {2020}
}