The definition of a non-commutative toric variety
Ludmil Vasilev Katzarkov, Ernesto Lupercio, Laurent Meersseman, Alberto Verjovsky · Contemporary mathematics - American Mathematical Society · 2014
In this short note, we introduce a new family of non-commutative spaces that we call non-commutative toric varieties . We also briefly describe some of their main properties. The main technical tool in this investigation is a natural extension of LVM-theory for the irrational case. This note, aimed at graduate students, primarily consists of a brief survey of the required background for the definition of a non-commutative toric variety, plus a very short announcement of the future results at the end.