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arXiv · 2002.09915

On tangential weak defectiveness and identifiability of projective varieties

Ageu Barbosa Freire·Alex Casarotti·Alex Massarenti
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Abstract

A point $p\in\mathbb{P}^N$ of a projective space is $h$-identifiable, with respect to a variety $X\subset\mathbb{P}^N$, if it can be written as linear combination of $h$ elements of $X$ in a unique way. Identifiability is implied by conditions on the contact locus in $X$ of general linear spaces called non weak defectiveness and non tangential weak defectiveness. We give conditions ensuring non tangential weak defectiveness of an irreducible and non-degenerated projective variety $X\subset\mathbb{P}^N$, and we apply these results to Segre-Veronese varieties.

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Ageu Barbosa Freire, Alex Casarotti, Alex Massarenti. 2020-02-23. On tangential weak defectiveness and identifiability of projective varieties. https://arxiv.org/abs/2002.09915

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