✦ LIBER ✦

Singular points of algebraic curves

✍ Scribed by Takis Sakkalis; Rida Farouki

Publisher: Elsevier Science
Year: 1990
Tongue: English
Weight: 784 KB
Volume: 9
Category: Article
ISSN: 0747-7171
DOI: 10.1016/s0747-7171(08)80019-3

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✦ Synopsis

Given an irreducible algebraic curve f(x,y) .--0 of degree n > 3 with rational coefficients, we describe algorithms for determining whether the curve is singular, and if so, isolating its singular points, computing their multiplicities, and counting the number of distinct tangents at each, The algorithms require only rational arithmetic operations on the coefficients of f(x, y) = 0, and avoid the need for more abstract symbolic representations of the singular point coordinates.

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