Twisted Semigroup Algebras
We study 2-cocycle twists, or equivalently Zhang twists, of semigroup algebras over a field K. If the underlying semigroup is affine, that is abelian, cancellative and finitely generated, then Spec K[S] is an affine toric variety over K, and we refer to the twists of K[S] as quantum affine toric var...
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| Autores principales: | , |
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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_1386923X_v18_n5_p1155_Rigal |
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| Sumario: | We study 2-cocycle twists, or equivalently Zhang twists, of semigroup algebras over a field K. If the underlying semigroup is affine, that is abelian, cancellative and finitely generated, then Spec K[S] is an affine toric variety over K, and we refer to the twists of K[S] as quantum affine toric varieties. We show that every quantum affine toric variety has a “dense quantum torus”, in the sense that it has a localization isomorphic to a quantum torus. We study quantum affine toric varieties and show that many geometric regularity properties of the original toric variety survive the deformation process. © 2015, Springer Science+Business Media Dordrecht. |
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