Pluripotential kahler-ricci flows
Complex Variables
2020-10-07 v1 Analysis of PDEs
Differential Geometry
Abstract
We develop a parabolic pluripotential theory on compact K{\"a}hler manifolds, defining and studying weak solutions to degenerate parabolic complex Monge-Amp{\`e}re equations. We provide a parabolic analogue of the celebrated Bedford-Taylor theory and apply it to the study of the K{\"a}hler-Ricci flow on varieties with log terminal singularities.
Keywords
Cite
@article{arxiv.1810.02121,
title = {Pluripotential kahler-ricci flows},
author = {Vincent Guedj and Hoang Chinh Lu and Ahmed Zeriahi},
journal= {arXiv preprint arXiv:1810.02121},
year = {2020}
}