论文标题
牛顿多面体和良好的紧凑定理
Newton polyhedra and good compactification theorem
论文作者
论文摘要
提出了复杂圆环$（\ bbb c^*）^n $的新透明证明。该定理为复杂的圆环中的次要体提供了强大的工具。该论文还包含一种算法，该算法在$（\ bbb c^*）中构建了一个良好的压缩，由方程式系统明确定义。陈述了在摩托类似的紧凑型上的新定理。良好的紧凑定理的这种概括的透明证明与本文的证明和结构相似，将在即将出版的出版物中介绍。
A new transparent proof of the well known good compactification theorem for the complex torus $(\Bbb C^*)^n$ is presented. This theorem provides a powerful tool in enumerative geometry for subvarieties in the complex torus. The paper also contains an algorithm constructing a good compactification for a subvariety in $(\Bbb C^*)^n$ explicitly defined by a system of equations. A new theorem on a torodoidal like compactification is stated. A transparent proof of this generalization of the good compactification theorem which is similar to proofs and constructions from this paper will be presented in a forthcoming publication.
