Dihedral coverings of algebraic surfaces and their application期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Dihedral coverings of algebraic surfaces and their application

Authors:	Hiro-o Tokunaga

Institution:	Department of Mathematics and Information Science, Kochi University, Kochi 780-8520, Japan

Abstract:	In this article, we study dihedral coverings of algebraic surfaces branched along curves with at most simple singularities. A criterion for a reduced curve to be the branch locus of some dihedral covering is given. As an application we have the following: Let be a reduced plane curve of even degree having only nodes and cusps. If , then $\pi_1(\mathbf{P}^2 \setminus B)$ is non-abelian. Note that Nori's result implies that $\pi_1(\mathbf{P}^2 \setminus B)$ is abelian, provided that .

Keywords:

	点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Transactions of the American Mathematical Society》下载免费的PDF全文