Complex hyperbolic triangle groups with 2-fold symmetry
نویسندگان
چکیده
منابع مشابه
Complex Hyperbolic Triangle Groups
The theory of complex hyperbolic discrete groups is still in its childhood but promises to grow into a rich subfield of geometry. In this paper I will discuss some recent progress that has been made on complex hyperbolic deformations of the modular group and, more generally, triangle groups. These are some of the simplest nontrivial complex hyperbolic discrete groups. In particular, I will talk...
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We first demonstrate a family of isomorphisms between complex hyperbolic triangle groups and outline a systematic approach classifying the groups. Then we describe conditions that determine the discreteness of certain groups, in particular we prove a slightly weaker version of a conjecture given by Schwartz. Finally we collect together a list of known discrete triangle groups and propose some g...
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ژورنال
عنوان ژورنال: Proceedings of the International Geometry Center
سال: 2017
ISSN: 2409-8906,2072-9812
DOI: 10.15673/tmgc.v1i10.547