A homogeneous polynomial of degree d in n C 1 variables is identifiable if it admits a unique additive decomposition in powers of linear forms. Identifiability is expected to be very rare. In this paper we conclude a work started more than a century ago and we describe all values of d and n for which a general polynomial of degree d in n C 1 variables is identifiable. This is done by classifying a special class of Cremona transformations of projective spaces.

Identifiability of homogeneous polynomials and Cremona transformations

Galuppi, Francesco
Primo
;
Mella, Massimiliano
Ultimo
2019

Abstract

A homogeneous polynomial of degree d in n C 1 variables is identifiable if it admits a unique additive decomposition in powers of linear forms. Identifiability is expected to be very rare. In this paper we conclude a work started more than a century ago and we describe all values of d and n for which a general polynomial of degree d in n C 1 variables is identifiable. This is done by classifying a special class of Cremona transformations of projective spaces.
Galuppi, Francesco; Mella, Massimiliano
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/2380927
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