Veech groups of flat structures on Riemann surfaces

Published 29 May 2011 in math.GT and math.CV | (1105.5790v3)

Abstract: In this paper, we construct new examples of Veech groups by extending Schmithusen's method for calculating Veech groups of origamis to Veech groups of unramified finite coverings of regular 2n-gons. We calculate the Veech groups of certain Abelian coverings of regular 2n-gons by using an algebraic method.

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Yoshihiko Shinomiya

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