If X 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 is the Segre embedding of the product of (t+1) projective spaces and one of them has dimension “large” with respect to the dimensions of the other t spaces; the X are some “unbalanced” Segre–Veronese embeddings; X is a Del Pezzo surface.
On the ideals of Secant Varieties to certain Rational Varieties
CATALISANO, MARIA VIRGINIA;GERAMITA, ANTHONY VITO;
2008-01-01
Abstract
If X 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 is the Segre embedding of the product of (t+1) projective spaces and one of them has dimension “large” with respect to the dimensions of the other t spaces; the X are some “unbalanced” Segre–Veronese embeddings; X is a Del Pezzo surface.
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