Hodge theory, between algebraicity and transcendence
Algebraic Geometry
2021-12-28 v1
Abstract
The Hodge theory of complex algebraic varieties is at heart a transcendental comparison of two algebraic structures. We survey the recent advances bounding this transcendence, mainly due to the introduction of o- minimal geometry as a natural framework for Hodge theory.
Cite
@article{arxiv.2112.13814,
title = {Hodge theory, between algebraicity and transcendence},
author = {Bruno Klingler},
journal= {arXiv preprint arXiv:2112.13814},
year = {2021}
}
Comments
prepared for the ICM 2022