7 citations · 28 across the 10 of their papers we have counts for
10 papers
Neighborhood of a rational curve with an ordinary cusp
Takayuki Koike, Takato Uehara
We investigate complex analytic properties of a neighborhood of a reduced rational curve with an ordinary cusp embedded in a non-singular complex surface whose self-intersection nu…
A gluing construction of projective K3 surfaces
Takayuki Koike, Takato Uehara
We construct a non-Kummer projective K3 surface which admits compact Levi-flats by holomorphically patching two open complex surfaces obtained as the complements of tubular nei…
Coarse Ricci curvature of hypergraphs and its generalization
MasaHiro Ikeda, Yu Kitabeppu, Yuuki Takai +1
In the present paper, we introduce a concept of Ricci curvature on hypergraphs for a nonlinear Laplacian. We prove that our definition of the Ricci curvature is a generalization of…
A gluing construction of K3 surfaces
Takayuki Koike, Takato Uehara
We develop a new method for constructing K3 surfaces. We construct such a K3 surface by patching two open complex surfaces obtained as the complements of tubular neighborhoods…
Siegel Disks on Rational Surfaces
Takato Uehara
We show the existence of a rational surface automorphism of positive entropy with a given number of Siegel disks. Moreover, among automorphisms obtained from quadratic birational m…
Rational Surface Automorphisms with Positive Entropy
Takato Uehara
The aim of this paper is to construct many examples of rational surface automorphisms with positive entropy by means of the concept of orbit data. We show that if an orbit data sat…