期刊论文详细信息
JOURNAL OF ALGEBRA 卷:357
Singular factors of rational plane curves
Article
Buse, Laurent1  D'Andrea, Carlos2 
[1] INRIA Sophia Antipolis Mediterranee, F-06902 Sophia Antipolis, France
[2] Univ Barcelona, Dept Algebra & Geometria, E-08007 Barcelona, Spain
关键词: Rational plane curves;    Rational parameterizations;    mu-bases;    D-resultants;    Subresultants;    Invariant factors;   
DOI  :  10.1016/j.jalgebra.2012.01.030
来源: Elsevier
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【 摘 要 】

We give a complete factorization of the invariant factors of resultant matrices built from birational parameterizations of rational plane curves in terms of the singular points of the curve and their multiplicity graph. This allows us to prove the validity of some conjectures about these invariants stated by Chen, Wang and Liu. As a byproduct, we also give a complete factorization of the D-resultant for rational functions in terms of the similar data extracted from the multiplicities. (C) 2012 Elsevier Inc. All rights reserved.

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