On the \(\mathrm{PSL}_2(\mathbb{F}_{19})\)-invariant cubic sevenfold

DOI10.1016/j.jalgebra.2014.05.004zbMath1295.11068arXiv1301.1142OpenAlexW2897854669MaRDI QIDQ403790

Xavier Roulleau, Atanas Iliev

Publication date: 29 August 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.1142

zbMATH Keywords

automorphism groupintermediate Jacobiancubic sevenfoldperiod lattice

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Hypersurfaces and algebraic geometry (14J70) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Cites Work

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• Lines on the Dwork pencil of quintic threefolds
• The Fano surface of the Klein cubic threefold
• On the automorphism groups of certain hypersurfaces
• On the Griffiths group of the cubic sevenfold
• Solution of the class number two problem for cyclotomic fields
• Fano manifolds of Calabi-Yau Hodge type
• Non-rationality of the S_6-symmetric quartic threefolds
• Non-rationality of the symmetric sextic Fano threefold

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