Polynomial covering spaces and homomorphisms into the braid groups
Polynomial covering spaces and homomorphisms into the braid groups
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辫群中的多项式覆盖空间和同态
DOI：
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发表时间：
1979
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通讯作者：
V. Hansen
中科院分区：
文献类型：
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作者：
V. Hansen
多项式覆盖空间是复多项式参数化族的零集。这种覆盖空间在全纯映射的研究中自然出现。多项式覆盖空间与某些同态的Artin编织群之间存在着丰富的联系。我们将建立这些联系，并利用它们来得到多项式覆盖空间的代数分类。
A polynomial covering space is the zero set for a parametrized family of complex polynomials. Such covering spaces arise naturally in several contexts in the study of holomorphic mappings. There are fruitful connections between polynomial covering spaces and certain homomorphisms into the Artin braid groups. We shall establish these connections and use them to obtain an algebraic classification of the polynomial covering spaces.