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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…
math.AG2024
CscK metrics on rank one spherical Fano fourfolds
Thibaut Delcroix
This four-pages note is an invitation to explore explicit K-stability for arbitrary Kähler classes of low dimension and low rank spherical varieties. We apply our simple combinator…
math.DG2024★ 2 cited
SYZ and optimal transport stability of Weyl polytopes
Thibaut Delcroix, Jakob Hultgren
We prove optimal transport stability (in the sense of Andreasson and the second author) for reflexive Weyl polytopes: reflexive polytopes which are convex hulls of an orbit of a We…