A Viro Theorem without convexity hypothesis for trigonal curves

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dc.creatorBertrand, Benoit
dc.creatorBrugalle, Erwan
dc.date2006-02-09
dc.date2006-09-29
dc.date.accessioned2026-07-07T07:03:16Z
dc.date.available2026-07-07T07:03:16Z
dc.descriptionA cumbersome hypothesis for Viro patchworking of real algebraic curves is the convexity of the given subdivision. It is an open question in general to know whether the convexity is necessary. In the case of trigonal curves we interpret Viro method in terms of dessins d'enfants. Gluing the dessins d'enfants in a coherent way we prove that no convexity hypothesis is required to patchwork such curves.
dc.description26 pages, 18 figures
dc.identifierhttps://arxiv.org/abs/math/0602198
dc.identifierhttp://arxiv.org/abs/math/0602198
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108910
dc.subjectAlgebraic Geometry
dc.subjectGeometric Topology
dc.subject14P25
dc.titleA Viro Theorem without convexity hypothesis for trigonal curves
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