Canadian Journal of Mathematics · 1994 · 43 citations · 5 references
Natural SciencesMathematicsGeometryAlgebraic GeometryArithmetic GeometryElliptic CurvesGalois RepresentationsGalois TheoryGroup TheoryGalois CoveringsMordell-weil Group ComputationMordell-weil TheoremTorsionTorsion Subgroups
Abstract In this paper, we shall give a method in constructing dihedral Galois covering with prescribed branch locus. As an application, we shall look into dihedral Galois covering of P 2 , where torsion elements of the Mordell-Weil group of an elliptic surface play key roles in constructing coverings
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On Compact Analytic Surfaces: II
K. Kodaira · Annals of Mathematics · 1963 · 589 citations
On deformations of quintic surfaces
Eiji Horikawa · Inventiones mathematicae · 1975 · 194 citations