Characterizations of lattice surfaces

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dc.creatorSmillie, John
dc.creatorWeiss, Barak
dc.date2008-09-22
dc.date.accessioned2026-07-07T10:04:26Z
dc.date.available2026-07-07T10:04:26Z
dc.descriptionWe answer a question of Vorobets by showing that the lattice property for flat surfaces is equivalent to the existence of a positive lower bound for the areas of affine triangles. We show that the set of affine equivalence classes of lattice surfaces with a fixed positive lower bound for the areas of triangles is finite and we obtain explicit bounds on its cardinality. We deduce several other characterizations of the lattice property.
dc.identifierhttps://arxiv.org/abs/0809.3729
dc.identifierhttp://arxiv.org/abs/0809.3729
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169678
dc.subjectDynamical Systems
dc.titleCharacterizations of lattice surfaces
dc.typetext

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