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