Veech groups of flat structures on Riemann surfaces

Details Veech groups of flat structures on Riemann surfaces Veech groups of flat structures on Riemann surfaces

2011-05-29

arxiv.org/abs/1105.5790v3

Mathematics

Geometric Topology

20 pages; Exposition improved. New results are added

Scientific paper

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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