Affine surfaces and their Veech groups

Eduard Duryev; Charles Fougeron; Selim Ghazouani

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arXiv · 1609.02130

Affine surfaces and their Veech groups

Eduard Duryev·Charles Fougeron·Selim Ghazouani

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Abstract

We introduce a class of objects which we call 'affine surfaces'. These provide families of foliations on surfaces whose dynamics we are interested in. We present and analyze a couple of examples, and we define concepts related to these in order to motivate several questions and open problems. In particular we generalise the notion of Veech group to affine surfaces, and we prove a structure result about these Veech groups.

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Eduard Duryev, Charles Fougeron, Selim Ghazouani. 2016-09-07. Affine surfaces and their Veech groups. https://arxiv.org/abs/1609.02130

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