Generalised Kummer constructions and Weil restrictions

DOI10.1016/j.jnt.2008.09.010zbMath1168.14015arXiv0710.4565OpenAlexW1966390530MaRDI QIDQ1025901

Sławomir Cynk, Matthias Schütt

Publication date: 23 June 2009

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.4565

zbMATH Keywords

modular formcomplex multiplicationCalabi-Yau threefoldWeil restriction

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (4)

Hashing to elliptic curves of \(j\)-invariant 1728 ⋮ New realizations of modular forms in Calabi-Yau threefolds arising from \(\phi^{4}\) theory ⋮ Hilbert modularity of some double octic Calabi-Yau threefolds ⋮ CM newforms with rational coefficients

Cites Work

• Fields of definition of singular \(K3\) surfaces
• CM newforms with rational coefficients
• Arithmetic on elliptic curves with complex multiplication. II
• Motivic orthogonal two-dimensional representations of \(\text{Gal}(\overline\mathbb{Q}/\mathbb{Q})\)
• Higher-Dimensional Modular Calabi–Yau Manifolds
• Nombres de Hurwitz et unités elliptiques. Un critère de régularité pour les extensions abéliennes d'un corps quadratique imaginaire
• On the Exponent of the Ideal Class Groups of Complex Quadratic Fields
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