Geometry and arithmetic of Maschke's Calabi-Yau three-fold

DOI10.4310/CNTP.2011.v5.n4.a2zbMath1253.14035arXiv1110.0106MaRDI QIDQ454873

Bert van Geemen, Gilberto Bini

Publication date: 10 October 2012

Published in: Communications in Number Theory and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0106

zbMATH Keywords

Galois representationCalabi-Yau threefoldmodularityAbel-Jacobi mapHodge structureMaschke's octic

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) (K3) surfaces and Enriques surfaces (14J28) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Varieties over global fields (11G35) Surfaces of general type (14J29) Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Automorphisms of surfaces and higher-dimensional varieties (14J50) (Co)homology theory in algebraic geometry (14F99)

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Type III contractions and quintic threefolds ⋮ Unnamed Item ⋮ Modularity of Calabi–Yau Varieties: 2011 and Beyond ⋮ Quartic surfaces with icosahedral symmetry

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