@ARTICLE{10.21494/ISTE.OP.2021.0760, 

TITLE={Terracini Loci et espaces homogènes}, 
  
AUTHOR={Edoardo Ballico, }, 
	
JOURNAL={Avancées en Mathématiques Pures et Appliquées}, 
	
VOLUME={13}, 

NUMBER={Numéro 1 (Janvier 2022)}, 
	
YEAR={2022}, 

URL={https://openscience.fr/TERRACINI-LOCI-et-espaces-homogenes}, 
	
DOI={10.21494/ISTE.OP.2021.0760}, 
	
ISSN={1869-6090}, 
	
ABSTRACT={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.}}