论文标题
最大等级的复曲面安排
Centering toric arrangements of maximal rank
论文作者
论文摘要
D'Antonio和DeLucchi在一篇文章中研究了复杂的复杂曲线布置的补体歧管的同质类型，该论文显示了这种拓扑空间的最小性。在这项工作中，我们将代表整数安排的矩阵与给定的曲折安排联系在一起。然后，我们考虑该矩阵具有最大等级的复曲安排家族。我们的目标是通过基本的线性代数论证证明，属于该家族的感谢您的曲折安排的补体歧管与集中的福利安排的形态不同，因此它也是一个最小的拓扑空间。
The homotopy type of the complement manifold of a complexified toric arrangement has been investigated by d'Antonio and Delucchi in a paper that shows the minimality of such topological space. In this work we associate to a given toric arrangement a matrix that represents the arrangement over the integers. Then, we consider the family of toric arrangements for which this matrix has maximal rank. Our goal is to prove, by means of basic linear algebra arguments, that the complement manifold of the toric arrangements that belong to this family is diffeomorphic to that of centered toric arrangements and thus it is a minimal topological space, too.
