On tangential weak defectiveness and identifiability of projective\n varieties

2020/02/23 by Ageu Barbosa Freire, Freire, Ageu Barbosa, Alex Casarotti +3
Computer Science · #14M15 #14N15 #15A69 #15A75 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Polynomial and algebraic computation #Primary 14N07 #Secondary 14N05

paper · pdf · doi:10.48550/arxiv.2002.09915

openalex publication_date 2020/02/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A point p\∈\ℙ^N of a projective space is h-identifiable, with\nrespect to a variety X\⊂\ℙ^N, if it can be written as linear\ncombination of h elements of X in a unique way. Identifiability is implied\nby conditions on the contact locus in X of general linear spaces called non\nweak defectiveness and non tangential weak defectiveness. We give conditions\nensuring non tangential weak defectiveness of an irreducible and\nnon-degenerated projective variety X\⊂\ℙ^N, and we apply these\nresults to Segre-Veronese varieties.\n

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