23 citations · 32 across the 6 of their papers we have counts for
6 papers
On a smooth quartic surface containing 56 lines which is isomorphic as a K3 surface to the Fermat quartic
Ichiro Shimada, Tetsuji Shioda
We give a defining equation of a complex smooth quartic surface containing 56 lines, and investigate its reductions to positive characteristics. This surface is isomorphic to the c…
Multiplicative excellent families of elliptic surfaces of type E_7 or E_8
Abhinav Kumar, Tetsuji Shioda
We describe explicit multiplicative excellent families of rational elliptic surfaces with Galois group isomorphic to the Weyl group of the root lattices E_7 or E_8. The Weierstrass…
Elliptic Surfaces
Matthias Schuett, Tetsuji Shioda
This survey paper concerns elliptic surfaces with section. We give a detailed overview of the theory including many examples. Emphasis is placed on rational elliptic surfaces and e…
Lines on Fermat surfaces
Matthias Schuett, Tetsuji Shioda, Ronald van Luijk
We prove that the Neron-Severi groups of several complex Fermat surfaces are generated by lines. Specifically, we obtain these new results for all degrees up to 100 that are relati…
An interesting elliptic surface over an elliptic curve
Tetsuji Shioda, Matthias Schuett
We study the elliptic modular surface attached to the commutator subgroup of the modular group. This has an elliptic curve as base and only one singular fibre. We employ an algebra…
Elliptic parameters and defining equations for elliptic fibrations on a Kummer surface
Masato Kuwata, Tetsuji Shioda
We pose the problem to determine explicit defining equations of various elliptic fibrations on a given surface, and study the case of the Kummer surfaces of the product of two…