Modularity of Maschke's octic and Calabi-Yau threefold

Details Modularity of Maschke's octic and Calabi-Yau threefold Modularity of Maschke's octic and Calabi-Yau threefold

2011-12-02

arxiv.org/abs/1112.0405v2

Mathematics

Algebraic Geometry

16 pages; v2: minor corrections, 4.3 added

Scientific paper

We prove the modularity of Maschke's octic and two Calabi-Yau threefolds
derived from it as double octic and quotient thereof by the Heisenberg group,
as conjectured by Bini and van Geemen. The proofs rely on automorphisms of the
varieties and isogenies of K3 surfaces.

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