混合模组参数标准体系及其在奇点理论中的应用

Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation Pub Date : 2020-07-20 DOI:10.1145/3373207.3404027

H. Teramoto, Katsusuke Nabeshima

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引用次数: 1

摘要

我们为Gatermann和Hosten[1]提出的混合模块标准基的计算提供了具体的计算算法。将其推广到混合模块的参数标准系统中，并给出了一种计算算法。我们将该算法应用于相对于A的具有复杂模结构的映射胚的分类。

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Parametric standard system for mixed module and its application to singularity theory

We provide a concrete computational algorithm for computing the standard basis for a mixed module proposed by Gatermann and Hosten [1]. We extend it to parametric standard system for a mixed module and provide an algorithm to compute it. We demonstrate our algorithm by applying it to classification of map-germs relative to A in which complicated moduli structures appear.

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Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation

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