Zariski-density of exceptional sets for hypergeometric functions

DOI10.1515/FORUM.2008.009zbMath1155.11040MaRDI QIDQ3516705

P. A. Desrousseaux, Marvin D. Tretkoff, Paula Beazley Cohen

Publication date: 11 August 2008

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

exceptional settranscendenceAndré-Oort conjectureAppell-Lauricella hypergeometric function

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Transcendence theory of other special functions (11J91) Complex multiplication and moduli of abelian varieties (11G15) Appell, Horn and Lauricella functions (33C65)

Related Items (1)

Transcendence and CM on Borcea-Voisin towers of Calabi-Yau manifolds

Cites Work

• Zum Periodenproblem
• Der Überlagerungsradius gewisser algebraischer Kurven und die Werte der Betafunktion an rationalen Stellen
• Values of hypergeometric functions
• Algebraische Punkte auf analytischen Untergruppen algebraischer Gruppen. (Algebraic points on analytic subgroups of algebraic groups)
• Arithmetic triangle groups
• Humbert surfaces and transcendence properties of automorphic functions
• Subvarieties of Shimura varieties
• Exceptional values of Appell hypergeometric functions
• Über das Verhalten der Integrale 1. Gattung bei Automorphismen des Funktionenkörpers
• On analytic families of polarized abelian varieties and automorphic functions
• Simple Factors in the Jacobian of a Fermat Curve
• Hypergeometric Abelian Varieties
• Criteria for complex multiplication and transcendence properties of automorphic functions.

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