Mathematics – Algebraic Geometry
Scientific paper
2011-05-18
Mathematics
Algebraic Geometry
to appear in the Journal of Algebraic Geometry
Scientific paper
We prove that a product of $m>5$ copies of $\PP^1$, embedded in the
projective space $\PP^r$ 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 $k+1\leq 2^{m-1}/m$.
Bocci Cristiano
Chiantini Luca
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