On the effective YTD conjecture
Algebraic Geometry
2025-09-11 v1 Complex Variables
Differential Geometry
Abstract
We formulate an effective variant of the Yau-Tian-Donaldson conjecture, then review effective results on K-stability of spherical varieties, that is, K-stability criterions which can be effectively computed given the combinatorial data associated with the variety. We focus on the standard notion of K-stability as defined by Donaldson for constant scalar curvature K\"ahler metrics.
Cite
@article{arxiv.2509.08760,
title = {On the effective YTD conjecture},
author = {Thibaut Delcroix},
journal= {arXiv preprint arXiv:2509.08760},
year = {2025}
}
Comments
10 pages survey