55 citations · 170 across the 19 of their papers we have counts for
9 papers · 1 filter
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…
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…
Limits of conical Kähler-Einstein metrics on rank one horosymmetric spaces
Thibaut Delcroix
We consider families of conical Kähler-Einstein metrics on rank one horosymmetric Fano manifolds, with decreasing cone angles along a codimension one orbit. At the limit angle, whi…
An effective weighted K-stability condition for polytopes and semisimple principal toric fibratons
Thibaut Delcroix, Simon Jubert
The second author has shown that existence of extremal Kähler metrics on semisimple principal toric fibrations is equivalent to a notion of weighted uniform K-stability, read off f…
Examples of K-unstable Fano manifolds
Thibaut Delcroix
We examine various examples of horosymmetric manifolds which exhibit interesting properties with respect to canonical metrics. In particular, we determine when the blow-up of a qua…
Coupled complex Monge-Ampère equations on Fano horosymmetric manifolds
Thibaut Delcroix, Jakob Hultgren
We give necessary and sufficient conditions for existence of solutions to a general system of complex Monge-Ampère equations on Fano horosymmetric manifolds. In particular, we get…
Ricci flat Kähler metrics on rank two complex symmetric spaces
Olivier Biquard, Thibaut Delcroix
We obtain Ricci flat Kähler metrics on complex symmetric spaces of rank two by using an explicit asymptotic model whose geometry at infinity is interpreted in the wonderful compact…
K{ä}hler geometry of horosymmetric varieties, and application to Mabuchi's K-energy functional
Thibaut Delcroix
We introduce a class of almost homogeneous varieties contained in the class of spherical varieties and containing horospherical varieties as well as complete symmetric varieties. W…
Kähler-Einstein metrics on group compactifications
Thibaut Delcroix
We obtain a necessary and sufficient condition of existence of a K{ä}hler-Einstein metric on a -equivariant Fano compactification of a complex connected reductive group…