A Viro Theorem without convexity hypothesis for trigonal curves
代数几何
2007-05-23 v2 几何拓扑
摘要
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.
关键词
引用
@article{arxiv.math/0602198,
title = {A Viro Theorem without convexity hypothesis for trigonal curves},
author = {Benoit Bertrand and Erwan Brugalle},
journal= {arXiv preprint arXiv:math/0602198},
year = {2007}
}
备注
26 pages, 18 figures