Geometric Kac-Moody modularity

DOI10.1016/j.geomphys.2005.05.003zbMath1118.14046arXivhep-th/0410189OpenAlexW2003303372WikidataQ125777271 ScholiaQ125777271MaRDI QIDQ2490738

Rolf Schimmrigk, Monika Lynker

Publication date: 18 May 2006

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0410189

zbMATH Keywords

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

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Elliptic curves (14H52) Finite ground fields in algebraic geometry (14G15) 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) Varieties over finite and local fields (11G25)

Related Items

The Langlands program and string modular \(K3\) surfaces, A modularity test for elliptic mirror symmetry, String modular phases in Calabi-Yau families, String-theory realization of modular forms for elliptic curves with complex multiplication, Modularity of Calabi-Yau varieties and conformal field theory, On flux vacua and modularity, Emergent spacetime from modular motives, ARITHMETIC SPACE–TIME GEOMETRY FROM STRING THEORY

Cites Work

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• On the periods of Abelian integrals and a formula of Chowla and Selberg. With an appendix by David E. Rohrlich
• Correspondances modulaires et les fonctions \(\zeta\) de courbes algébriques
• On integrals attached to automorphic forms
• Complex multiplication of exactly solvable Calabi-Yau varieties
• Infinite-dimensional Lie algebras, theta functions and modular forms
• Complex multiplication symmetry of black hole attractors
• The Shimura-Taniyama conjecture and conformal field theory.
• Analytische Zahlentheorie in Körpern der Charakteristik \(p\)
• Arithmetic of Calabi-Yau varieties and rational conformal field theory.
• Ring-theoretic properties of certain Hecke algebras
• Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen
• Quaternäre quadratische Formen und die Riemannsche Vermutung für die Kongruenzzetafunktion
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
• DILOGARITHM IDENTITIES IN CONFORMAL FIELD THEORY
• K3-FIBERED CALABI–YAU THREEFOLDS I: THE TWIST MAP
• Algorithm for determining the type of a singular fiber in an elliptic pencil
• Sur les Périodes des Intégrales Abéliennes
• Simple Factors in the Jacobian of a Fermat Curve
• Elliptic Curves and Wild Ramification
• Jacobi Sums as "Grossencharaktere"
• Calabi-Yau manifolds in weighted \({\mathbb{P}}_4\)