IJPAM: Volume 95, No. 4 (2014)

ON THE NON-DEFECTIVITY AND THE GENERIC
$k$-IDENTIFIABILITY FOR SEGRE EMBEDDINGS
OF PRODUCTS OF PROJECTIVE VARIETIES

E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY


Abstract. We show that recent works of Bocci, Chiantini, Ottaviani and others on the dimension of the secant varieties and their generic identifiability may be translated from Segre embedding of multiprojective spaces to the composition of embeddings $X_i\subset \mathbb {P}^{r_i}$, $1\le i \le s$, into the Segre embedding of $\mathbb {P}^{r_1}\times 1\cdots \times \mathbb {P}^{r_s}$.

Received: July 27, 2014

AMS Subject Classification: 14N05, 14A

Key Words and Phrases: Segre variety, secant variety

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DOI: 10.12732/ijpam.v95i4.15 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 95
Issue: 4
Pages: 623 - 628


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