On the ideals of secant varieties to certain rational varieties

JOURNAL OF ALGEBRA

卷:319

Article

Catalisano, M. V.²  Geramita, A. V.^1,3  Gimigliano, A.^4,5 

[1] Queens Univ, Dept Math & Stat, Kingston, ON K7L 3N6, Canada

[2] Univ Genoa, DIPTEM, Genoa, Italy

[3] Univ Genoa, Dipartimento Matemat, Genoa, Italy

[4] Univ Bologna, Dipartimento Matemat, I-40126 Bologna, Italy

[5] Univ Bologna, CIRAM, I-40126 Bologna, Italy

关键词: secant varieties;    rational surfaces;    segre varieties;    generators of ideals;    tensor rank;   

DOI  :  10.1016/j.jalgebra.2007.01.045

来源: Elsevier

【 摘 要 】

If X subset of 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-n1 x... x P-nt x P-n is the Segre embedding of the product and n is large with respect to the n(i) (Theorem 2.4); the X are some unbalanced Segre-Veronese embeddings; X is a Del Pezzo surface. (c) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free