We determine the equations describing the homogeneous ideals of the (higher) secant varieties to Del Pezzo surfaces and to "unbalanced" Segre varieties, i.e. Segre embeddings of products if projective spaces, whre the last factor as much bigger dimension with respect to the others. We study also the case of Segre-Veronese embeddings.

A. Gimigliano, M.V. Catalisano, A.V. Geramita (2008). On the ideal of secant varieties to certain rational varieties. JOURNAL OF ALGEBRA, 319, 1913-1931 [10.1016/j.jalgebra.2007.01.045].

On the ideal of secant varieties to certain rational varieties

GIMIGLIANO, ALESSANDRO;
2008

Abstract

We determine the equations describing the homogeneous ideals of the (higher) secant varieties to Del Pezzo surfaces and to "unbalanced" Segre varieties, i.e. Segre embeddings of products if projective spaces, whre the last factor as much bigger dimension with respect to the others. We study also the case of Segre-Veronese embeddings.
2008
A. Gimigliano, M.V. Catalisano, A.V. Geramita (2008). On the ideal of secant varieties to certain rational varieties. JOURNAL OF ALGEBRA, 319, 1913-1931 [10.1016/j.jalgebra.2007.01.045].
A. Gimigliano; M.V. Catalisano; A.V. Geramita
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/62944
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