Avoiding the general position condition when computing the topology of a real algebraic plane curve defined implicitly

DOI10.1007/978-3-031-38271-0_46OpenAlexW4385435095MaRDI QIDQ6178879

Gema Maria Diaz Toca, Laureano Gonzalez-Vega, Jorge Caravantes

Publication date: 16 January 2024

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-38271-0_46

zbMATH Keywords

singular pointssubresultantstopology of curves

Mathematics Subject Classification ID

Computational aspects of algebraic curves (14Q05) Solving polynomial systems; resultants (13P15)

Cites Work

• Using signature sequences to classify intersection curves of two quadrics
• An efficient method for analyzing the topology of plane real algebraic curves.
• Efficient topology determination of implicitly defined algebraic plane curves.
• Bounds for polynomials on algebraic numbers and application to curve topology
• On the complexity of computing with planar algebraic curves
• On the computation of the topology of plane curves
• Algorithms in real algebraic geometry
• An algebraic condition for the separation of two ellipsoids

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