Mordell-Weil Lattice of Higher Genus Fibration on a Fermat Surface

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J. Math. Sci. Univ. Tokyo
Vol. 22 (2015), No. 1, Page 443–468.

Shioda, Tetsuji
Mordell-Weil Lattice of Higher Genus Fibration on a Fermat Surface
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]

Abstract:
The Mordell-Weil lattice of higher genus fibration is studied for the axial fibration on a Fermat surface. The basic theorems (the rank, the height formula, etc) are obtained, and examples and various generalization will be discussed.

Keywords: Mordell-Weil lattice of higher genus fibration, Fermat surface.

Mathematics Subject Classification (2010): 14C25, 14J25, 14C21.

Mathematical Reviews Number: MR3329202

Received: 2014-06-10

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