%0 Journal Article %T Z-linear Gale duality and poly weighted spaces (PWS) %A Michele Rossi %A Lea Terracini %J Mathematics %D 2015 %I arXiv %X The present paper is devoted to discussing Gale duality from the Z-linear algebraic point of view. This allows us to isolate the class of Q-factorial complete toric varieties whose class group is torsion free, here called poly weighted spaces (PWS), as an interesting generalization of weighted projective spaces (WPS). %U http://arxiv.org/abs/1501.05244v1