Veech groups without parabolic elements

Hubert, Pascal; Lanneau, Erwan

Duke Math. J., Tome 131 (2006) no. 1, p. 335-346 / Harvested from Project Euclid

Résumé

We prove that a translation surface that has two transverse parabolic elements has a totally real trace field. As a corollary, nontrivial Veech groups that have no parabolic elements do exist. ¶ The proof follows Veech's viewpoint on Thurston's construction of pseudo-Anosov diffeomorphisms

Publié le : 2006-06-01
Classification: 32G15, 30F30, 57R30, 37D40

@article{1148224043,
     author = {Hubert, Pascal and Lanneau, Erwan},
     title = {Veech groups without parabolic elements},
     journal = {Duke Math. J.},
     volume = {131},
     number = {1},
     year = {2006},
     pages = { 335-346},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148224043}
}

Hubert, Pascal; Lanneau, Erwan. Veech groups without parabolic elements. Duke Math. J., Tome 131 (2006) no. 1, pp.  335-346. http://gdmltest.u-ga.fr/item/1148224043/