Combinatorial configurations of fibered polynomials

Combinatorial configurations of fibered polynomials
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纤维多项式的组合配置

DOI:
10.1017/s0143385701001456
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发表时间:
2001
影响因子:
0.9
通讯作者:
Olivier Sester
Olivier Sester
中科院分区:
数学2区
文献类型:
--
作者:
Olivier Sester

文献摘要

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我们从组合的角度研究二次纤维多项式。本文的主要目的是构建参数空间子集的组合模型。该集合(配置空间)被证明是豪斯多夫紧连通空间。然后,我们证明了一个非循环的抽象配置可以通过二次纤维多项式唯一地实现。
We study from a combinatorial point of view quadratic fibered polynomials. The main object of this paper is the construction of a combinatorial model of a subset of the parameter space. This set (the configuration space) is proved to be a Hausdorff compact and connected space. Then, we prove that an abstract configuration which is non-recurrent can be uniquely realized by a quadratic fibered polynomial.