23 citations · 38 across the 16 of their papers we have counts for
4 papers · 1 filter
Toric Fano manifolds that do not admit extremal Kähler metrics
DongSeon Hwang, Hiroshi Sato, Naoto Yotsutani
We show that there exists a toric Fano manifold of dimension that does not admit an extremal Kähler metric in the first Chern class, answering a question of Mabuchi. By taking…
On the blow-up formula of the Chow weights for polarized toric manifolds
King Leung Lee, Naoto Yotsutani
Let be a smooth projective toric variety, and let denote the blow-up of at finitely many distinct torus-invariant points. In this paper, we derive an explic…
Asymptotic Chow stability of uniformly K-stable toric varieties
King leung Lee, Naoto Yotsutani
For a polarized toric variety, we provide a sufficient criterion ensuring that a uniformly K-stable polarized toric variety is asymptotically Chow polystable, under the ass…
Numerical semistability of projective toric varieties
Naoto Yotsutani
Let be a smooth linearly normal projective variety. It was proved by Paul that the -energy of restricted to the Bergman metrics is bound…