Classification of complex hyperbolic triangle groups by types

Yuhan Wang

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Classification of complex hyperbolic triangle groups by types

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arxiv 1910.08879 v1 pith:3G3436C4 submitted 2019-10-20 math.GT

Yuhan Wang This is my paper

classification math.GT

keywords classificationcomplexgroupshyperbolictriangletypesaccordingcomplete

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abstract

We give a complete classification of complex hyperbolic $(n_1, n_2, n_3)$-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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