On the ideals of Secant Varieties to certain rational varieties

Details On the ideals of Secant Varieties to certain rational varieties On the ideals of Secant Varieties to certain rational varieties

2006-09-02

arxiv.org/abs/math/0609054v2

Mathematics

Algebraic Geometry

17 pages, minor changes for section 3 and references

Scientific paper

If $\X \subset \P^n$ 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: $\X = \P^{n_1}\times...\times\P^{n_t}\times\P^n$ 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.

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