Non-commutative Toric Varieties
arXiv:1308.2774
Abstract
In this note we introduce a new family of non-commutative spaces that we call non-commutative toric varieties and we describe some of their main properties. The main technical tool in this investigation is a natural extension of LVM-theory for the irrational case. In order to introduce the moduli space of (non-commutative) toric varieties we use variations on the notion of diffeology as models for non-commutative spaces.
25 pages, 5 figures, dedicated to the 60th birthdays of Ralph L. Cohen and Gunnar Carlsson and the 70th birthday of Ib Madsen