5 papers
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…
Projective bundles that admit coupled Kähler-Einstein metrics but no Kähler-Einstein metrics
Naoto Yotsutani
Using Hultgren's polytope formulation of the existence of coupled Kähler-Einstein (cKE) metrics on toric Fano manifolds, we construct explicit higher-dimensional toric Fano manifo…
Bott manifolds with vanishing Futaki invariants for all Kähler classes
Hajime Ono, Yuji Sano, Naoto Yotsutani
We prove that the only Bott manifolds such that the Futaki invariant vanishes for any Kähler class are isomorphic to the products of the projective lines.
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 takin…