Veroneseans, power subspaces and independence
Combinatorics
2011-09-06 v1
Abstract
Results are proved indicating that the Veronese map v_d often increases independence of both sets of points and sets of subspaces. For example, any d+1 Veronesean points of degree d are independent. Similarly, the dth power map on the space of linear forms of a polynomial algebra also often increases independence of both sets of points and sets of subspaces. These ideas produce d+1-independent families of subspaces in a natural manner.
Cite
@article{arxiv.1109.0652,
title = {Veroneseans, power subspaces and independence},
author = {W. M. Kantor and E. E. Shult},
journal= {arXiv preprint arXiv:1109.0652},
year = {2011}
}