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• W117133605 abstract "We report on a method for computing the genus of a plane complex algebraic curve based on the topology of singular points and on knot theory. We propose a symbolic-numeric algorithm to be used for plane complex algebraic curves whose defining polynomials have numeric coefficients. Together with its main functionality to compute the genus, the algorithm provides also tools for computational operations in knot theory. We split the main algorithm into several interdependent subalgorithms. We base some of our subalgorithms on general algorithms from computational geometry (e.g. Bentley-Ottman). Whenever required, we design our own subalgorithms for solving the specific problems (e.g. computation of the Alexander polynomial). We use for the implementation the Axel algebraic geometric modeler, developed at INRIA, Sophia-Antipolis." @default.
• W117133605 created "2016-06-24" @default.
• W117133605 creator A5019909973 @default.
• W117133605 creator A5072589415 @default.
• W117133605 date "2011-10-12" @default.
• W117133605 modified "2023-09-25" @default.
• W117133605 title "A Symbolic-Numeric Algorithm for Genus Computation" @default.
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• W117133605 doi "https://doi.org/10.1007/978-3-7091-0794-2_4" @default.
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