2007•Bulletin of the London Mathematical SocietyRequires access
On the ideals and singularities of secant varieties of Segre varieties
J. M. Landsberg, Jerzy Weyman
Open publisher page 80 citations
Abstract
We find minimal generators for the ideals of secant varieties of Segre varieties in the cases of σk(ℙ1 × ℙn × ℙm) for all k, n, m, σ2(ℙn × ℙm × ℙp × ℙr) for all n, m, p, r (GSS conjecture for four factors), and σ3(ℙn × ℙm × ℙp) for all n, m, p and prove they are normal with rational singularities in the first case and arithmetically Cohen–Macaulay in the second two cases.