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arXiv · 2509.08760

On the effective YTD conjecture

Thibaut Delcroix
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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.

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Thibaut Delcroix. 2025-09-10. On the effective YTD conjecture. https://arxiv.org/abs/2509.08760

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