Sur la rigidit� de certains groupes fondamentaux, l?arithm�ticit� des r�seaux hyperboliques complexes, et les ?faux plans projectifs?

2003/07/01 by Bruno Klingler · 26 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Combinatorics #Corollary #Geometric and Algebraic Topology #Lattice (music) #Lie group #Mathematics #Pure mathematics #Quotient #Simple (philosophy) #Simple Lie group

paper · doi:10.1007/s00222-002-0283-2

published in Inventiones Mathematicae 153(1), 105-143 (Springer Science and Business Media LLC)

crossref issued 2003/07/01 · crossref published 2003/07/01 · crossref published-print 2003/07/01 · openalex publication_date 2003/07/01 · crossref created 2004/10/15 · crossref deposited 2019/05/24 · openalex created_date 2025/10/10 · crossref indexed 2026/03/02 · openalex updated_date 2026/07/29

Citations

• Harmonic maps into singular spaces and p -adic superrigidity for lattices in groups of rank one
• On Homotopic Harmonic Maps
• Non-arithmetic groups in Lobachevsky spaces
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• Archimedean Superrigidity and Hyperbolic Geometry
• Moduli of representations of the fundamental group of a smooth projective variety II

Cited by

• Enumeration of the 50 fake projective planes
• INTEGRALITY AND ARITHMETICITY OF CO-COMPACT LATTICE CORRESPONDING TO CERTAIN COMPLEX TWO-BALL QUOTIENTS OF PICARD NUMBER ONE
• Fake projective plane [wikipedia]