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Título:
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On generic and maximal k-ranks of binary forms
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Autor/a:
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Lundqvist, Samuel; Oneto, Alessandro; Reznick, Bruce; Shapiro, Boris
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Abstract:
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In what follows, we pose two general conjectures about decompositions of homogeneous polynomials as sums of powers. The first one (suggested by G. Ottaviani) deals with the generic k-rank of complex-valued forms of any degree divisible by k in any number of variables. The second one (by the fourth author) deals with the maximal k-rank of binary forms. We settle the first conjecture in the cases of two variables and the second in the first non-trivial case of the 3-rd powers of quadratic binary forms. |
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Abstract:
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Peer Reviewed |
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Materia(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
-Polynomials
-Polinomis |
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Derechos:
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Tipo de documento:
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Artículo - Versión presentada
Artículo |
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