On the ideals of Secant Varieties to certain rational varieties
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If $\X \subset ¶^n$ is a reduced and irreducible projective variety, it is interesting to find the equations describing the (higher) secant varieties of $\X$. In this paper we find those equations in the following cases:
$\X = ¶^{n_1}\times...\times¶^{n_t}\times¶^n$ is the Segre embedding of the product and $n$ is "large" with respect to the $n_i$ (Theorem 2.4);
$\X$ is a Segre-Veronese embedding of some products with 2 or three factors;
$\X$ is a Del Pezzo surface.
17 pages, minor changes for section 3 and references
17 pages, minor changes for section 3 and references