Modularity of Maschke's octic and Calabi-Yau threefold
Algebraic Geometry
2012-01-23 v2 Number Theory
Abstract
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.
Cite
@article{arxiv.1112.0405,
title = {Modularity of Maschke's octic and Calabi-Yau threefold},
author = {Matthias Schuett},
journal= {arXiv preprint arXiv:1112.0405},
year = {2012}
}
Comments
16 pages; v2: minor corrections, 4.3 added