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math.AG2025
On the effective YTD conjecture
Thibaut Delcroix
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 c…
math.DG2025
Numerical invariants for weighted cscK metrics
Thibaut Delcroix, Simon Jubert
In K-stability, the delta invariant of a Fano variety encodes the existence of Kähler-Einstein metrics. We introduce a weighted analytic delta invariant, and a reduced version, tha…