Fiber polytopes and fractional power series
Fiber polytopes and fractional power series
复制标题
纤维多面体和分数幂级数
DOI：
10.1016/0022-4049(94)00129-5
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发表时间：
1995
影响因子：
0.8
通讯作者：
J. McDonald
中科院分区：
文献类型：
--
作者：
J. McDonald
本文研究了N元多项式方程的幂级数展开式。所考虑的展开式的指数位于RN中的某个凸圆锥区域内。一个N-变量的模拟牛顿多边形建设的多项式在两个变量是用来构建这样的系列扩展。这些序列的结构与Billera和Sturmfels在[2]中介绍的纤维多面体理论有关，并且这种关系用于得出某些分支轨迹的结论。
This paper explores the power series expansions of polynomial equations in N variables. Expansions considered have exponents lying in some convex conical region in RN. An N-variable analog of the Newton polygon construction for polynomials in two variables is used to construct such series expansions. The structure of these series is related to the theory of fiber polytopes as introduced by Billera and Sturmfels in [2], and this relationship is used to draw conclusions about certain ramification loci.