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.File in questo prodotto:
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