3 papers
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, th…
math.AG2024
Weight sensitivity in K-stability of Fano varieties
Thibaut Delcroix
We prove that, for a spherical Fano threefold not in the Mori-Mukai family 2-29, and a weight function associated with the action of the connected center of a Levi subgroup of its…