Rocky Mountain Journal of Mathematics

Waring's Theorem revisited

Andrés Rojas

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This paper consists in a revision and extension of a classic result, Waring's Theorem, about the barycenter of the intersection points of two plane algebraic curves. The theorem arises from the study of the parts with highest degree of the equation of a curve, which are completely determined by the barycentric parallel lines of the groups of asymptotes.

Article information

Rocky Mountain J. Math., Volume 49, Number 3 (2019), 979-1003.

First available in Project Euclid: 23 July 2019

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14N15: Classical problems, Schubert calculus 14H50: Plane and space curves

Waring's theorem barycenter barycentric parallel line asymptotes of plane algebraic curves Chasles' theorem


Rojas, Andrés. Waring's Theorem revisited. Rocky Mountain J. Math. 49 (2019), no. 3, 979--1003. doi:10.1216/RMJ-2019-49-3-979.

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