A series of coverings of the regular n-gon

Details A series of coverings of the regular n-gon A series of coverings of the regular n-gon

2010-05-25

arxiv.org/abs/1005.4588v3

Mathematics

Geometric Topology

A missing case in step 1 in the proof of Thm. 1 b was added. (To appear in Geometriae Dedicata.)

Scientific paper

10.1007/s10711-011-9585-0

We define an infinite series of translation coverings of Veech's double-n-gon
for odd n greater or equal to 5 which share the same Veech group. Additionally
we give an infinite series of translation coverings with constant Veech group
of a regular n-gon for even n greater or equal to 8. These families give rise
to explicit examples of infinite translation surfaces with lattice Veech group.

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