23 citations · 38 across the 16 of their papers we have counts for
16 papers
Families of projective bundles that admit coupled Kähler-Einstein metrics but no Kähler-Einstein metrics
Naoto Yotsutani
We construct two families of projective bundles that admit two-coupled Kähler-Einstein (cKE) metrics but do not ordinary Kähler-Einstein metrics in sufficiently high dimensions. We…
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…
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.
Differential geometric global smoothings of simple normal crossing complex surfaces with trivial canonical bundle
Mamoru Doi, Naoto Yotsutani
Let be a simple normal crossing (SNC) compact complex surface with trivial canonical bundle which includes triple intersections. We prove that if is -semistable, then th…
Diffeomorphism classes of the doubling Calabi-Yau threefolds with Picard number two
Naoto Yotsutani
Previously we constructed Calabi-Yau threefolds by a differential-geometric gluing method using Fano threefolds with their smooth anticanonical divisors (New York J. Math. 20:…
Global smoothings of degenerate K3 surfaces with triple points
Naoto Yotsutani
Let be a normal crossing compact complex surface with triple points. We prove that there exists a family of smoothings of when satisfies suitable conditions. Since our…
Asymptotic Chow semistability implies Ding polystability for Gorenstein toric Fano varieties
Naoto Yotsutani
In this paper, we prove that a Gorenstein toric Fano variety is asymptotically Chow semistable then it is Ding polystable with respect to toric test configurations (T…
Relative Algebro-Geometric stabilities of Toric Manifolds
Naoto Yotsutani, Bin Zhou
In this paper we study the relative Chow and -stability of toric manifolds in the toric sense. First, we give a criterion for relative -stability and instability of toric Fan…
Gluing construction of compact Spin(7)-manifolds
Mamoru Doi, Naoto Yotsutani
We give a differential-geometric construction of compact manifolds with holonomy which is based on Joyce's second construction of compact -mani…
Doubling construction of Calabi-Yau fourfolds from toric Fano fourfolds
Mamoru Doi, Naoto Yotsutani
We give a differential-geometric construction of Calabi-Yau fourfolds by the `doubling' method, which was introduced in \cite{DY14} to construct Calabi-Yau threefolds. We also give…
Facets of secondary polytopes and Chow stability of toric varieties
Naoto Yotsutani
Chow stability is one notion of Mumford's Geometric Invariant Theory for studying the moduli space of polarized varieties. Kapranov, Sturmfels and Zelevinsky detected that Chow sta…
Doubling construction of Calabi-Yau threefolds
Mamoru Doi, Naoto Yotsutani
We give a differential-geometric construction and examples of Calabi-Yau threefolds, at least one of which is {\it{new}}. Ingredients in our construction are {\it admissible pairs}…
An example of asymptotically Chow unstable manifolds with constant scalar curvature
Hajime Ono, Yuji Sano, Naoto Yotsutani
Donaldson proved that if a polarized manifold has constant scalar curvature Kähler metrics in and its automorphism group Aut is discrete, is asympto…