Newton polyhedra and toroidal varieties
Newton polyhedra and toroidal varieties
复制标题
牛顿多面体和环形品种
DOI：
--
复制
发表时间：
1977
期刊：
影响因子：
--
通讯作者：
A. Khovanskii
中科院分区：
文献类型：
--
作者：
A. Khovanskii
在经典情形下，环面紧化（C~0）~f ~起着与射影紧化~ P ~相同的作用。环的品种是众所周知的[2，3]。处理它们几乎和处理射影空间一样容易。在随后的论文中，将使用环形簇的几何来计算簇X的算术亏格和欧拉特征线。在这里，我们讨论这种几何与整多面体的初等几何的联系。
The toroidal compactification (C~0)~f ~ plays the same role as the projective compactification ~ P ~ in the classical case. Toroidal varieties are well known [2, 3]. It is almost as easy to handle them as projective spaces. In a subsequent paper the geometry of toroidal varieties will be used for the calculation of the arithmetic genus and Euler characteristic of variety X. Here we discuss the connection of this geometry with the elementary geometry of integral polyhedra.