Hadamard Products of Linear Spaces
arXiv:1504.04301
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.
18 pages. v2: Added Corollary 6.10 for reciprocal linear spaces, added Remark 2.6, updated references. To appear in Journal of Algebra