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arXiv · 1005.1315

Affine Schottky Groups and Crooked Tilings

Virginie Charette·William M. Goldman
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Abstract

In his 1990 doctoral thesis, Todd Drumm showed that proper affine deformations of free Fuchsian groups could be constructed as Schottky groups using a new family of hypersurfaces called "crooked planes." The existence of proper affine deformations of Fuchsian Schottky groups was demonstrated by Margulis in the early 1980's, answering a question raised by Milnor in 1977. This paper expounds Drumm's result, at least in the case of Fuchsian Schottky groups (that is, when the group contains no parabolic elements).

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Virginie Charette, William M. Goldman. 2010-05-08. Affine Schottky Groups and Crooked Tilings. https://arxiv.org/abs/1005.1315

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