Lecture notes on generalized Monge-Amp\`ere equations and subvarieties
Differential Geometry
2022-10-05 v1 Algebraic Geometry
Complex Variables
Abstract
These are the lecture notes for the Morningside Center of Mathematics Geometry Summer School on August 15-20, 2022. These lectures sketch the results by Yau, Demailly-Paun, the author, and Datar-Pingali about generalized Monge-Amp\`ere equations and subvarieties and aim to use these results to study the Hodge conjecture.
Cite
@article{arxiv.2210.01345,
title = {Lecture notes on generalized Monge-Amp\`ere equations and subvarieties},
author = {Gao Chen},
journal= {arXiv preprint arXiv:2210.01345},
year = {2022}
}