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math.AG2008★ 3 cited
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…
math.AG2006
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…
math.AG2006★ 2 cited
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…