Analysis reveals effective methods for K-stability criteria in spherical varieties, suggesting potential applications in geometry.
We formulate an effective variant of the Yau–Tian–Donaldson conjecture and then review effective results on K-stability of spherical varieties, that is, K-stability criteria 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 Kähler metrics.
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Thibaut Delcroix (2025) studied this question.
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