%0 Journal Article
%A Ansola, M.
%A Díaz-Cano Ocaña, Antonio
%A Zurro, M. A.
%T Semialgebraic sets and real binary forms decompositions
%D 2021
%@ 07477171
%U https://hdl.handle.net/20.500.14352/8046
%X The Waring Problem over polynomial rings asks how to decompose a homogeneous polynomial p of degree d as a linear combination of d-th powers of linear forms. In this work we give an algorithm to obtain a real Waring decomposition of any given real binary form p of length at most its degree. In fact, we construct a semialgebraic family of Waring decompositions for p. We illustrate our results with some examples.
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