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Paper detail

Non-commutative Toric Varieties

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.

preprint2013arXivOpen access
Ludmil KatzarkovErnesto LupercioLaurent MeerssemanAlberto Verjovsky
math.SGmath.AGhep-th
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Ludmil KatzarkovErnesto LupercioLaurent MeerssemanAlberto Verjovsky

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