We prove that a product of m > 5 copies of P^1, embedded in the projective space P^r by the standard Segre embedding, is k-identifiable (i.e. a general point of the secant variety S^k(X) is contained in only one (k + 1)-secant k-space), for all k such that k + 1 ≤ 2m−1/m. The research that led to the present paper was partially supported by a grant of the group GNSAGA of INdAM.
Bocci, C., Chiantini, L. (2013). On the identifiability of binary Segre products. JOURNAL OF ALGEBRAIC GEOMETRY, 22, 1-11 [10.1090/S1056-3911-2011-00592-4].
On the identifiability of binary Segre products
BOCCI, CRISTIANO;CHIANTINI, LUCA
2013-01-01
Abstract
We prove that a product of m > 5 copies of P^1, embedded in the projective space P^r by the standard Segre embedding, is k-identifiable (i.e. a general point of the secant variety S^k(X) is contained in only one (k + 1)-secant k-space), for all k such that k + 1 ≤ 2m−1/m. The research that led to the present paper was partially supported by a grant of the group GNSAGA of INdAM.
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https://hdl.handle.net/11365/37361
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