To our knowledge at the time of writing, the maximum Waring rank for the set of all ternary forms of degree d (with coefficients in an algebraically closed field of characteristic zero) is known only for d <= 4, and the best upper bound that is known for d=5 is twelve. In this work we lower the upper bound to ten (and there are evidences that it is likely sharp).

Every Ternary Quintic is a Sum of Ten Fifth Powers

DE PARIS, ALESSANDRO
2015

Abstract

To our knowledge at the time of writing, the maximum Waring rank for the set of all ternary forms of degree d (with coefficients in an algebraically closed field of characteristic zero) is known only for d <= 4, and the best upper bound that is known for d=5 is twelve. In this work we lower the upper bound to ten (and there are evidences that it is likely sharp).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/601381
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