2 papers
math.AG2024
K-stable valuations and Calabi-Yau metrics on affine spherical varieties
Tran-Trung Nghiem
After providing an explicit K-stability condition for a -Gorenstein log spherical cone, we prove the existence and uniqueness of an equivariant K-stable degeneration of…
math.DG2022
Spherical cones: classification and a volume minimization principle
Tran-Trung Nghiem
Using a variational approach, we establish the equivalence between a weighted volume minimization principle and the existence of a conical Calabi-Yau structure on horospherical con…