Classification of complex hyperbolic triangle groups by types

2019/10/20 by Yuhan Wang, Wang, Yuhan
Mathematics · #20H10 #22E40 #53A35 #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1910.08879

openalex publication_date 2019/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a complete classification of complex hyperbolic (n₁, n₂, n₃)-triangle groups by types defined according to the ellipticity of two particular words of short length. This improves the Schwartz conjecture proved by Grossi.

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