TY  - Type of reference 
TI  - Terracini Loci and Homogeneous Spaces 
AU  - Edoardo Ballico 
AB  - 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. 
DO  - 10.21494/ISTE.OP.2021.0760 
JF  - Advances in Pure and Applied Mathematics 
KW  - Terracini’s lemma,  homogeneous spaces,  secant varieties,  zerodimensional schemes,  tangent spaces, Terracini’s lemma,  homogeneous spaces,  secant varieties,  zerodimensional schemes,  tangent spaces,  
L1  - https://openscience.fr/IMG/pdf/iste_apam22v13n1_4.pdf 
LA  - en 
PB  - ISTE OpenScience 
DA  - 2021/01/11 
SN  - 1869-6090 
TT  - Terracini Loci et espaces homogènes 
UR  - https://openscience.fr/TERRACINI-LOCI-and-Homogeneous-Spaces 
IS  - Issue 1 (January 2022) 
VL  - 13 
ER  -