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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_1386923X_v18_n5_p1155_Rigal |
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todo:paper_1386923X_v18_n5_p1155_Rigal2023-10-03T16:12:22Z Twisted Semigroup Algebras Rigal, L. Zadunaisky, P. Artin-Schelter Artin-Schelter Gorenstein Cohen-Macaulay Noncommutative geometry Quantum toric varieties Semigroup algebras Artin-Schelter Cohen-Macaulay Gorenstein Non-commutative geometry Quantum toric varieties Semi-group Algebra 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_1386923X_v18_n5_p1155_Rigal |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Artin-Schelter Artin-Schelter Gorenstein Cohen-Macaulay Noncommutative geometry Quantum toric varieties Semigroup algebras Artin-Schelter Cohen-Macaulay Gorenstein Non-commutative geometry Quantum toric varieties Semi-group Algebra |
| spellingShingle |
Artin-Schelter Artin-Schelter Gorenstein Cohen-Macaulay Noncommutative geometry Quantum toric varieties Semigroup algebras Artin-Schelter Cohen-Macaulay Gorenstein Non-commutative geometry Quantum toric varieties Semi-group Algebra Rigal, L. Zadunaisky, P. Twisted Semigroup Algebras |
| topic_facet |
Artin-Schelter Artin-Schelter Gorenstein Cohen-Macaulay Noncommutative geometry Quantum toric varieties Semigroup algebras Artin-Schelter Cohen-Macaulay Gorenstein Non-commutative geometry Quantum toric varieties Semi-group Algebra |
| description |
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. |
| format |
JOUR |
| author |
Rigal, L. Zadunaisky, P. |
| author_facet |
Rigal, L. Zadunaisky, P. |
| author_sort |
Rigal, L. |
| title |
Twisted Semigroup Algebras |
| title_short |
Twisted Semigroup Algebras |
| title_full |
Twisted Semigroup Algebras |
| title_fullStr |
Twisted Semigroup Algebras |
| title_full_unstemmed |
Twisted Semigroup Algebras |
| title_sort |
twisted semigroup algebras |
| url |
http://hdl.handle.net/20.500.12110/paper_1386923X_v18_n5_p1155_Rigal |
| work_keys_str_mv |
AT rigall twistedsemigroupalgebras AT zadunaiskyp twistedsemigroupalgebras |
| _version_ |
1807316504467734528 |