Non-commutative Toric Varieties
Symplectic Geometry
2013-11-11 v2 High Energy Physics - Theory
Algebraic Geometry
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.
Cite
@article{arxiv.1308.2774,
title = {Non-commutative Toric Varieties},
author = {Ludmil Katzarkov and Ernesto Lupercio and Laurent Meersseman and Alberto Verjovsky},
journal= {arXiv preprint arXiv:1308.2774},
year = {2013}
}
Comments
25 pages, 5 figures, dedicated to the 60th birthdays of Ralph L. Cohen and Gunnar Carlsson and the 70th birthday of Ib Madsen