A fast algorithm for curve singularities

Sheng Ming Ma

doi:10.1017/s0004972700036182

A fast algorithm for curve singularities

Sheng Ming Ma^*

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

We demonstrate a fast algorithm to resolve local singularities of algebraic curves. The algorithm is based on the monomial transform and is independent of any other coordinate change. Two new invariants are introduced to gauge the singularities and sharply control the number of algorithmic steps. Our algorithm is applicable to both real and complex domains.

源语言	英语
页（从-至）	403-414
页数	12
期刊	Bulletin of the Australian Mathematical Society
卷	69
期	3
DOI	https://doi.org/10.1017/s0004972700036182
出版状态	已出版 - 6月 2004

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AB - We demonstrate a fast algorithm to resolve local singularities of algebraic curves. The algorithm is based on the monomial transform and is independent of any other coordinate change. Two new invariants are introduced to gauge the singularities and sharply control the number of algorithmic steps. Our algorithm is applicable to both real and complex domains.

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DO - 10.1017/s0004972700036182

M3 - 文章

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JO - Bulletin of the Australian Mathematical Society

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A fast algorithm for curve singularities

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