Veech surfaces with non-periodic directions in the trace field
Dynamical Systems
2009-06-26 v1
Abstract
We show that each of Veech's original examples of translation surfaces with ``optimal dynamics'' whose trace field is of degree greater than two has non-periodic directions of vanishing SAF-invariant. Furthermore, we give explicit examples of pseudo-Anosov diffeomorphisms whose contracting direction has zero SAF-invariant.
Keywords
Cite
@article{arxiv.0906.4571,
title = {Veech surfaces with non-periodic directions in the trace field},
author = {Pierre Arnoux and Thomas A. Schmidt},
journal= {arXiv preprint arXiv:0906.4571},
year = {2009}
}
Comments
22 pages, 1 figure