Complex multiplication of exactly solvable Calabi-Yau varieties

DOI10.1016/j.nuclphysb.2004.08.007zbMath1123.14302arXivhep-th/0312319OpenAlexW1993315551MaRDI QIDQ874311

Steven Stewart, Monika Lynker, Rolf Schimmrigk

Publication date: 5 April 2007

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0312319

zbMATH Keywords

conformal field theorycompactification\(L\)-functionszeta functionsfundamental stringsvarieties over finite fieldsarithmetic varieties

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Complex multiplication and moduli of abelian varieties (11G15) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Varieties over finite and local fields (11G25)

Related Items

The Langlands program and string modular \(K3\) surfaces, String-theory realization of modular forms for elliptic curves with complex multiplication, On flux vacua and modularity, Emergent spacetime from modular motives, Geometric Kac-Moody modularity, ARITHMETIC SPACE–TIME GEOMETRY FROM STRING THEORY

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