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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…
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…
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…
Jacobian fibrations on the singular K3 surface of discriminant 3
Kazuki Utsumi
In this paper we give the Weierstrass equations and the generators of Mordell-Weil groups for Jacobian fibrations on the singular K3 surface of discriminant 3.
Weierstrass equations for Jacobian fibrations on a certain K3 surface
Kazuki Utsumi
In this paper we give the Weierstrass equations for Jacobian fibrations on the K3 surface that is the minimal resolution of the double covering of projective plane ramified along g…