Computing the asymptotes for a real plane algebraic curve

DOI10.1016/j.jalgebra.2007.03.030zbMath1131.14064OpenAlexW2007876024MaRDI QIDQ2464500

Guangxing Zeng

Publication date: 21 December 2007

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.03.030

zbMATH Keywords

Sturm sequencereal plane algebraic curveasymptotetransfer principleinfinite branch

Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Computational aspects of algebraic curves (14Q05)

Related Items (8)

Asymptotic behavior of an implicit algebraic plane curve ⋮ Asymptotes and perfect curves ⋮ An effective algorithm for computing the asymptotes of an implicit curve ⋮ Design and implementation of symbolic algorithms for the computation of generalized asymptotes ⋮ Asymptotes of space curves ⋮ On the shape of curves that are rational in polar coordinates ⋮ A new approach for computing the asymptotes of a parametric curve ⋮ Determining the asymptotic family of an implicit curve

Cites Work

• Lectures on formally real fields
• On the extension of real places
• An efficient method for analyzing the topology of plane real algebraic curves.
• Efficient topology determination of implicitly defined algebraic plane curves.
• Algorithms in real algebraic geometry
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