Veech groups without parabolic elements

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dc.creatorHubert, Pascal
dc.creatorLanneau, Erwan
dc.date2005-03-02
dc.date2005-06-29
dc.date.accessioned2026-07-07T05:17:37Z
dc.date.available2026-07-07T05:17:37Z
dc.descriptionWe prove that a ``bouillabaisse'' surface (translation surface which has two transverse parabolic elements) has totally real trace field. As a corollary, non trivial Veech groups which have no parabolic elements do exist. The proof follows Veech's viewpoint on Thurston's construction of pseudo-Anosov diffeomorphisms.
dc.description7 pages, Corrected typos, to appear in Duke Mathematical Journal
dc.identifierhttps://arxiv.org/abs/math/0503047
dc.identifierhttp://arxiv.org/abs/math/0503047
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74371
dc.subjectGeometric Topology
dc.subjectDynamical Systems
dc.subject32G15, 30F30, 30F60, 58F18
dc.titleVeech groups without parabolic elements
dc.typetext

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