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 / Ballico, E.. - 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
Ballico, E.
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 | |
|---|---|---|---|
|
iste_apam22v13n1_4.pdf
Open Access dal 01/02/2023
Descrizione: articolo principale
Tipologia:
Versione editoriale (Publisher’s layout)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
208.17 kB
Formato
Adobe PDF
|
208.17 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
