# Veronese and the detectives: finding the symmetry of attractors

Chillingworth, D.R.J. (1996) Veronese and the detectives: finding the symmetry of attractors. Fields Institute Communications, 5, 85-92.

This paper explores connections between Veronese maps $R^n\to Sym_n$ (where $Sym_n$ is the $n(n+1)/2$ -dimensional space of $n\times n$ symmetric matrices) given by $x\mapsto xx^t$, and the detective maps defined by Barany et al. (Physica D, 67 (1993), 66-87). The main result is that if a quadratic detective exists then the Veronese map is a detective.