The real loci of the Calogero-Moser spaces and the Shapiro-Shapiro conjecture

This paper has been withdrawn by the authors; it is superceeded by the paper: The real loci of Calogero–Moser spaces, representations of rational Cherednik algebras and the Shapiro conjecture, by Iain Gordon, Emil Horozov, and Milen Yakimov, arXiv:0711.4336.