Hodge loci and atypical intersections: conjectures
Algebraic Geometry
2017-11-28 v1
Abstract
We present a conjecture on the geometry of the Hodge locus of a (graded polarizable, admissible) variation of mixed Hodge structure over a complex smooth quasi-projective base, generalizing to this context the Zilber-Pink Conjecture for mixed Shimura varieties (in particular the Andr\'e-Oort conjecture).
Cite
@article{arxiv.1711.09387,
title = {Hodge loci and atypical intersections: conjectures},
author = {Bruno Klingler},
journal= {arXiv preprint arXiv:1711.09387},
year = {2017}
}
Comments
to appear in the proceedings of the conference "Motives and Complex Multiplication", held in Monte-Verita, August 2016