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 -