Symmetric noncommutative birational transformations
Symmetric noncommutative birational transformations
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对称非交换双有理变换
DOI：
10.4171/jncg/290
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发表时间：
2016
影响因子：
0.9
通讯作者：
Dennis Presotto
中科院分区：
文献类型：
--
作者：
Dennis Presotto
在以前的论文（arXiv：1410.5207）中，在与二次和三次三维Sklyanin代数相关的非交换方案之间构造了某些双有理变换。本文研究了逆双有理变换，并证明了它们是同一类型的。此外，我们将一切扩展到$\mathbb{Z}$-代数的背景下，这使我们能够将非交换二次引进货车登伯格。
In a previous paper (arXiv:1410.5207) 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.