Degree complexity bounds on the intersection of algebraic curves

Abhyankar, S. S. ; Chandrasekar, S. ; Chandru, V. (1989) Degree complexity bounds on the intersection of algebraic curves In: DBLP.

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Official URL: http://doi.org/10.1145/73833.73843

Related URL: http://dx.doi.org/10.1145/73833.73843

Abstract

The intersection of algebraic curves in three and higher dimensional spaces is considered. An algebrogeometric technique is developed for obtaining an upper bound on the number of intersection points of two irreducible algebraic curves. The asymptotic bounds are shown to be a function of only the degrees of the two intersecting curves. Some specific examples involving curves in 3-space are analyzed.

Item Type:Conference or Workshop Item (Paper)
Source:Copyright of this article belongs to Association for Computing Machinery
ID Code:132617
Deposited On:20 Dec 2022 08:38
Last Modified:20 Dec 2022 08:38

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