RELATIVE DIHEDRAL GROUP ACTIONS ON RATIONAL ELLIPTIC SURFACES
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概要
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In this paper we give an explicit method for constructing every rational elliptic surface that has a four-torsion section. We use this construction to study the moduli space of birational equivalence classes of Galois covers that arise from rational elliptic surfaces with a relative dihedral group action. As a conclusion we find that the moduli space for such Galois covers whose Galois groups are the dihedral group of order eight is a nodal rational curve.
- 九州大学大学院数理学研究院の論文
九州大学大学院数理学研究院 | 論文
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