K-stability and Fujita approximation
Algebraic Geometry
2021-02-19 v1 Differential Geometry
Abstract
We derive a formula for non-Archimedean Monge-Amp\`{e}re measures of big models. As applications, we derive a positive intersection formula for non-Archimedean Mabuchi functional, and further reduce the uniform Yau-Tian-Donaldson conjecture for polarized manifolds to a conjecture about the existence of approximate Zariski decompositions that satisfy some asymptotic vanishing condition.
Cite
@article{arxiv.2102.09457,
title = {K-stability and Fujita approximation},
author = {Chi Li},
journal= {arXiv preprint arXiv:2102.09457},
year = {2021}
}
Comments
19 pages, comments welcome