Padded Polynomials, Their Cousins, and Geometric Complexity Theory Academic Article uri icon

abstract

  • We establish basic facts about the varieties of homogeneous polynomials divisible by powers of linear forms, and explain consequences for geometric complexity theory. This includes quadratic set-theoretic equations, a description of the ideal in terms of the kernel of a linear map that generalizes the Foulkes-Howe map, and an explicit description of the coordinate ring of the normalization. We also prove asymptotic injectivity of the Foulkes-Howe map. © 2014 Copyright Taylor and Francis Group, LLC.

author list (cited authors)

  • Kadish, H., & Landsberg, J. M.

citation count

  • 15

publication date

  • January 2014