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arXiv · 1308.2774

Non-commutative Toric Varieties

Ludmil Katzarkov·Ernesto Lupercio·Laurent Meersseman·Alberto Verjovsky
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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.

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Ludmil Katzarkov, Ernesto Lupercio, Laurent Meersseman, Alberto Verjovsky. 2013-11-08. Non-commutative Toric Varieties. https://arxiv.org/abs/1308.2774

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