3 papers
math.AG2026
Singular fibers of elliptic fibrations on normal surfaces
Taro Hayashi, Kazuki Utsumi
We study singular fibers of elliptic fibrations on normal \(K3\) surfaces. For a normal \(K3\) surface \(Y\) with minimal resolution \(ν\colon X \to Y\), we describe singular fiber…
math.AG2022
The Mordell-Weil lattice of an Inose surface arising from isogenous elliptic curves
Kazuki Utsumi
An elliptic K3 surface having two fibers is called the Inose surface. In this paper, we give a method to find a rational section of an Inose surface corresponding to an is…
math.AG2016
Mordell-Weil lattice of Inose's Elliptic surface arising from the product of 3-isogenous elliptic curves
Masato Kuwata, Kazuki Utsumi
From the product of two elliptic curves, Shioda and Inose constructed an elliptic surface having two fibers. Its Mordell-Weil lattice structure depends on the…