Noncommutative versions of some classical birational transformations (Q283238)
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scientific article; zbMATH DE number 6580410
| Language | Label | Description | Also known as |
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| English | Noncommutative versions of some classical birational transformations |
scientific article; zbMATH DE number 6580410 |
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Noncommutative versions of some classical birational transformations (English)
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13 May 2016
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The authors show that the 3-dimensional quadratic Sklyanin algebras and the 3-dimensional cubic Sklyanin algebras have the same function field. It is also showed that the Cremona transform has a noncommutative version, which yields an automorphism of the function field of a 3-dimensional quadratic Sklyanin algebra.
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birational transformation
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Cremona transform
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Sklyanin algebras
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non-commutative surfaces
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