A Viro Theorem without convexity hypothesis for trigonal curves

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A 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.
26 pages, 18 figures

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Algebraic Geometry, Geometric Topology, 14P25

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http://salesiana.dossiersoluciones.com/handle/123456789/108910

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602198
 http://arxiv.org/abs/math/0602198

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arXiv