On the Ideals of Secant Varieties of Segre Varieties Academic Article uri icon

abstract

  • We establish basic techniques for determining the ideals of secant varieties of Segre varieties. We solve a conjecture of Garcia, Stillman, and Sturmfels on the generators of the ideal of the first secant variety in the case of three factors and solve the conjecture set-theoretically for an arbitrary number of factors. We determine the low degree components of the ideals of secant varieties of small dimension in a few cases.

author list (cited authors)

  • Landsberg, J. M., & Manivel, L.

citation count

  • 63

publication date

  • July 2004