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arXiv 2103.15262math.GTmath.CO
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用于线排列的尖点除法和Kirby图

Divides with cusps and Kirby diagrams for line arrangements

Sakumi Sugawara, Masahiko Yoshinaga

摘要:

复化实直线排列的补集是仿射曲面。经典上已知,这样的空间具有直到$2$ -句柄的句柄分解。我们将描述由Lefschetz超平面截口定理导出的柄分解。为了描述Kirby图,我们引入了尖点划分的概念,这是由A 'Campo引入的划分的推广。

英文摘要:

The complement of a complexified real line arrangement is an affine surface. It is classically known that such a space has a handle decomposition up to $2$-handles. We will describe the handle decomposition induced from Lefschetz hyperplane section theorem for such a space. To describe the Kirby diagram, we introduce the notion of the divide with cusps which is a generalization of the divide introduced by A'Campo.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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