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Title:Detecting Algebraic Curves in Bad Position
Authors: Kyriakos Kalorkoti
Date: 2001
Publication Title:Journal of Symbolic Computation
Publication Type:Journal Article Publication Status:Published
Volume No:# 31(6) Page Nos:671-690
Two affine algebraic curves over the complex numbers are in bad position if they have at least two distinct common points on some vertical line, i.e., for some complex number x there are distinct complex numbers y1, y2 such that (x,y1) and (x,y2) are common points of the curves. We describe a method for detecting this situation and use it to develop an algortihm for the common points of two algebraic curves along with their multiplicities. We also give a worst case runtime analysis for the two algorithms and include a brief comparison of the second one with an approach using Groebner bases.
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Bibtex format
author = { Kyriakos Kalorkoti },
title = {Detecting Algebraic Curves in Bad Position},
journal = {Journal of Symbolic Computation},
publisher = {Elsevier},
year = 2001,
volume = {# 31(6)},
pages = {671-690},
doi = {10.1006/jsco.2000.0424},

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