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arXiv:0905.1591 [math.DS]AbstractReferencesReviewsResources

Veech groups, irrational billiards and stable abelian differentials

Ferran Valdez

Published 2009-05-11, updated 2009-06-29Version 2

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.

Comments: 8 pages, 2 figures
Categories: math.DS, math.DG
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