方程组的Puiseux幂级数解
代数几何
2009-12-01 v2
摘要
我们给出了一种算法，用于逐项计算多元Puiseux级数展开，这些级数作为代数方程组在奇点处零点的局部参数化出现。该算法是平面代数曲线牛顿法的推广，用系统生成理想的热带簇替代了牛顿多边形。作为推论，我们推导出拟奇点热带簇的一个性质。
引用
@article{arxiv.0811.0414,
title = {Puiseux power series solutions for systems of equations},
author = {Fuensanta Aroca and Giovanna Ilardi and Lucia Lopez de Medrano},
journal= {arXiv preprint arXiv:0811.0414},
year = {2009}
}
备注
19 pages. To appear in International Journal of Mathematics. Major changes: Several sections added explaining the geometrical meaning of the series solutions and a corollary about quasi-ordinary singularities