On the topology of planar algebraic curves

DOI10.1145/1542362.1542424zbMath1391.14060OpenAlexW2167849855MaRDI QIDQ5370736

Elias P. Tsigaridas, Sylvain Lazard, Marc Pouget, Luis Mariano Peñaranda, Jin-San Cheng~, Fabrice Rouillier

Publication date: 20 October 2017

Published in: Proceedings of the twenty-fifth annual symposium on Computational geometry (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/inria-00425383/file/socg_hal.pdf

zbMATH Keywords

topology of algebraic curvesexact geometric computationeffective algebraic geometry

Mathematics Subject Classification ID

Plane and space curves (14H50) Computational aspects of algebraic curves (14Q05) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (10)

Identifying and approximating monotonous segments of algebraic curves using support function representation ⋮ Computing the topology of a plane or space hyperelliptic curve ⋮ Piecewise rational approximation of square-root parameterizable curves using the Weierstrass form ⋮ Nearly optimal refinement of real roots of a univariate polynomial ⋮ On the topology of real algebraic plane curves ⋮ A note on the complexity of real algebraic hypersurfaces ⋮ Homeomorphic approximation of the intersection curve of two rational surfaces ⋮ The Voronoi diagram of three lines ⋮ A worst-case bound for topology computation of algebraic curves ⋮ Computing the topology of an arrangement of implicitly defined real algebraic plane curves

Uses Software

• CGAL
• FGb
• SINGULAR

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