On the ideals and singularities of secant varieties of Segre varieties Academic Article uri icon

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. © 2007 London Mathematical Society.

author list (cited authors)

  • Landsberg, J. M., & Weyman, J.

citation count

  • 35

publication date

  • June 2007

publisher