Hadamard Products of Linear Spaces
Algebraic Geometry
2016-07-15 v2
Abstract
We describe properties of Hadamard products of algebraic varieties. We show any Hadamard power of a line is a linear space, and we construct star configurations from products of collinear points. Tropical geometry is used to find the degree of Hadamard products of other linear spaces.
Keywords
Cite
@article{arxiv.1504.04301,
title = {Hadamard Products of Linear Spaces},
author = {Cristiano Bocci and Enrico Carlini and Joe Kileel},
journal= {arXiv preprint arXiv:1504.04301},
year = {2016}
}
Comments
18 pages. v2: Added Corollary 6.10 for reciprocal linear spaces, added Remark 2.6, updated references. To appear in Journal of Algebra