DCDS
Veech groups, irrational billiards and stable abelian differentials
Ferrán Valdez
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 $\rm SO(2,\mathbf{R})$ and we calculate their rank.
keywords: Polygonal Billiards Veech group.

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