Fonctions hypergéométriques en plusieurs variables et espaces des modules de variétés abéliennes

DOI10.24033/asens.1683zbMath0822.14014OpenAlexW2475190611MaRDI QIDQ4289251

Wolfart, Jürgen, Paula Beazley Cohen

Publication date: 18 October 1995

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1993_4_26_6_665_0

zbMATH Keywords

arithmetic groupShimura varietyhypergeometric equationsAppell-Lauricella differential equationsmodular embedding of monodromy groups

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Complex multiplication and abelian varieties (14K22) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Appell, Horn and Lauricella functions (33C65)

Related Items

Transcendence and CM on Borcea-Voisin towers of Calabi-Yau manifolds ⋮ Values of a function of Picard at algebraic points ⋮ Exceptional sets of hypergeometric series. ⋮ Braid groups and Hodge theory

Cites Work

• Der Überlagerungsradius gewisser algebraischer Kurven und die Werte der Betafunktion an rationalen Stellen
• Values of hypergeometric functions
• Automorphic forms and the periods of abelian varieties
• Quelques propriétés geométriques du domaine de \(F_ 1\) et le groupe de tresses colorees
• Isomorphisms among monodromy groups and applications to lattices in \(PU(1,2)\)
• The cohomology ring of the colored braid group
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• Generalized Picard lattices arising from half-integral conditions
• Fonctions hypergeometriques \(F_ 1 \)et fonctions automorphes. I
• Über das Verhalten der Integrale 1. Gattung bei Automorphismen des Funktionenkörpers
• Problème de Riemann et fonctions automorphes provenant des fonctions hypergeometriques de plusieurs variables
• On analytic families of polarized abelian varieties and automorphic functions
• Doubly generated Fuchsian groups
• Models of certain automorphic function fields
• Lectures on Riemann matrices
• Modular embeddings for some non-arithmetic Fuchsian groups
• ALGEBRAIC APPELL-LAURICELLA FUNCTIONS
• Simple Factors in the Jacobian of a Fermat Curve
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Fonctions hypergéométriques en plusieurs variables et espaces des modules de variétés abéliennes