Singular factors of rational plane curves

Laurent Busé 1 Carlos d'Andrea 2
1 GALAAD - Geometry, algebra, algorithms
CRISAM - Inria Sophia Antipolis - Méditerranée , UNS - Université Nice Sophia Antipolis, CNRS - Centre National de la Recherche Scientifique : UMR6621
Abstract : 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.
Document type :
Journal articles
Complete list of metadatas

Cited literature [18 references]  Display  Hide  Download

https://hal.inria.fr/hal-00714544
Contributor : Laurent Busé <>
Submitted on : Wednesday, July 4, 2012 - 10:56:33 PM
Last modification on : Wednesday, April 17, 2019 - 4:06:02 PM
Long-term archiving on : Thursday, December 15, 2016 - 8:20:18 PM

File

SingularFactor_final.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00714544, version 1

Collections

Citation

Laurent Busé, Carlos d'Andrea. Singular factors of rational plane curves. Journal of Algebra, Elsevier, 2012, 357, pp.322-346. ⟨hal-00714544⟩

Share

Metrics

Record views

377

Files downloads

306