We study the linear dependence of disjoint unions of double points of an integral and non-degenerate variety X ⊂ Pr. 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 × P1) in which these curves are not sufficient to describe these Terracini loci.
Terracini loci and homogeneous spaces Terracini Loci et espaces homogènes / Ballico, Edoardo. - In: ADVANCES IN PURE AND APPLIED MATHEMATICS. - ISSN 1869-6090. - STAMPA. - 13:1(2022), pp. 62-74. [10.21494/ISTE.OP.2021.0760]
Terracini loci and homogeneous spaces Terracini Loci et espaces homogènes
Ballico, Edoardo
2022-01-01
Abstract
We study the linear dependence of disjoint unions of double points of an integral and non-degenerate variety X ⊂ Pr. 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 × P1) in which these curves are not sufficient to describe these Terracini loci.| File | Dimensione | Formato | |
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