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arxiv: 0905.1591 · v2 · submitted 2009-05-11 · 🧮 math.DS · math.DG

Veech groups, irrational billiards and stable abelian differentials

classification 🧮 math.DS math.DG
keywords billiardsgroupsirrationalabeliandifferentialspolygonalstableveech
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We describe Veech groups of flat surfaces arising from irrational angled polygonal billiards or irreducible stable abelian differentials. For irrational polygonal billiards, we prove that these groups are non-discrete subgroups of SO(2,R) and we calculate their rank.

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