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The Waring rank of
binary binomial forms
Laura Brustenga i Moncusí and Shreedevi K. Masuti |
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Vol. 313 (2021), No. 2, 327–342
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DOI: 10.2140/pjm.2021.313.327
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Abstract |
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We give an explicit formula for the Waring rank of every binary binomial form with complex coefficients. We give several examples to illustrate this, and compare the Waring rank and the real Waring rank for binary binomial forms. |
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Keywords
Waring problem, Sylvester algorithm, perp ideal, Hilbert
function, secant varieties, apolarity theory
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Mathematical Subject Classification 2010
Primary: 13F20
Secondary: 11P05, 14N05
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Milestones
Received: 17 January 2020
Revised: 22 June 2021
Accepted: 27 June 2021
Published: 12 October 2021
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Authors |
| Laura Brustenga i Moncusí | |
| Department of Mathematical
Sciences Univertisy of Copenhagen Copenhagen Denmark |
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| Shreedevi K. Masuti | |
| Department of Mathematics Indian Institute of Technology Dharwad WALMI Campus Dharwad Karnataka India |
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