On the ideals of secant varieties of Segre varieties Academic Article

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.

authors

• Landsberg, Joseph

published proceedings

• FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

author list (cited authors)

• Landsberg, J. M., & Manivel, L.

citation count

• 70

complete list of authors

• Landsberg, JM||Manivel, L

publication date

• November 2004

publisher

• Springer Nature  Publisher

published in

• Foundations of Computational Mathematics  Journal

keywords

• Algebraic Complexity
• Border Rank
• Secant Variety
• Segre Variety

Digital Object Identifier (DOI)

• 10.1007/s10208-003-0115-9

start page

• 397

end page

• 422

volume

• 4

issue

• 4

URL

• http://dx.doi.org/10.1007/s10208-003-0115-9