Experimental Mathematics

The Waring Loci of Ternary Quartics

Jaydeep Chipalkatti

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Abstract

Let s be any integer between 1 and 5. We determine necessary and sufficient conditions that a ternary quartic be expressible as a (possibly degenerate) sum of fourth powers of s linear forms.

Article information

Source
Experiment. Math., Volume 13, Number 1 (2004), 93-102.

Dates
First available in Project Euclid: 10 June 2004

Permanent link to this document
https://projecteuclid.org/euclid.em/1086894091

Mathematical Reviews number (MathSciNet)
MR2065569

Zentralblatt MATH identifier
1061.14057

Subjects
Primary: 14-04: Explicit machine computation and programs (not the theory of computation or programming) 14L35: Classical groups (geometric aspects) [See also 20Gxx, 51N30]

Keywords
Apolarity Waring's problem concomitants

Citation

Chipalkatti, Jaydeep. The Waring Loci of Ternary Quartics. Experiment. Math. 13 (2004), no. 1, 93--102. https://projecteuclid.org/euclid.em/1086894091


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