Titre : Terracini Loci and Homogeneous Spaces Auteurs : Edoardo Ballico, Revue : Advances in Pure and Applied Mathematics Numéro : Issue 1 (January 2022) Volume : 13 Date : 2021/01/11 DOI : 10.21494/ISTE.OP.2021.0760 ISSN : 1869-6090 Résumé : We study the linear dependence of disjoint unions of double points of an integral and non-degenerate variety $$$X\subset ℙ^r$$$. Such sets are called Terracini loci. Our main results are for Segre-Veronese embeddings and a few other homogeneous spaces. To study the minimal number of such double points which are linearly dependent, it is useful to study the minimal degree curves contained in $$$X$$$. We give an example (the Segre embedding of ℙ1$$$\times$$$ ℙ1) in which these curves are not suffcient to describe these Terracini loci. Éditeur : ISTE OpenScience