Deligne-Mostow lattices with three fold symmetry and cone metrics on the sphere

DOI10.1090/ecgd/299zbMath1354.32014arXiv1509.05320OpenAlexW2963352853MaRDI QIDQ2833063

Irene Pasquinelli

Publication date: 16 November 2016

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.05320

zbMATH Keywords

complex hyperbolic spacefundamental domainsholomorphic isometriesDeligne-Mostow lattices

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Complex Lie groups, group actions on complex spaces (32M05) General geometric structures on low-dimensional manifolds (57M50)

Related Items (5)

Similarity classes of tetrahedra ⋮ Moduli spaces of flat tori with prescribed holonomy ⋮ Complex hyperbolic orbifolds and hybrid lattices ⋮ New nonarithmetic complex hyperbolic lattices. II ⋮ Fundamental domains and presentations for the Deligne-Mostow lattices with 2-fold symmetry

Cites Work

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• New non-arithmetic complex hyperbolic lattices
• Mostow's lattices and cone metrics on the sphere
• On a remarkable class of polyhedra in complex hyperbolic space
• Isomorphisms among monodromy groups and applications to lattices in \(PU(1,2)\)
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• Generalized Picard lattices arising from half-integral conditions
• New constructions of fundamental polyhedra in complex hyperbolic space
• Cone metrics on the sphere and Livné's lattices
• The geometry of the Eisenstein-Picard modular group
• On Discontinuous Action of Monodromy Groups on the Complex n-Ball

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