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Symmetric noncommutative birational transformations

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In [11] certain birational transformations were constructed between the noncommutative schemes associated to quadratic and cubic three dimensional Sklyanin algebras. In the current paper we consider the inverse birational transformations and show that they are of the same type. Moreover we extend everything to the \mathbb Z -algebras context, which allows us to incorporate the noncommutative quadrics introduced by Van den Bergh in [18].
European Mathematical Society - EMS - Publishing House GmbH
Title: Symmetric noncommutative birational transformations
Description:
In [11] certain birational transformations were constructed between the noncommutative schemes associated to quadratic and cubic three dimensional Sklyanin algebras.
In the current paper we consider the inverse birational transformations and show that they are of the same type.
Moreover we extend everything to the \mathbb Z -algebras context, which allows us to incorporate the noncommutative quadrics introduced by Van den Bergh in [18].

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