Hodge theory, between algebraicity and transcendence
Bruno Klingler
Humboldt-Universität zu Berlin, Unter den Linden 6, 10099 Berlin, Germany
![Hodge theory, between algebraicity and transcendence cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fbooks%2Fcover-275.png&w=3840&q=90)
Download Chapter PDF
This book chapter is published open access.
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.