论文标题
正熵伪自动形态的正规化
Regularizations of positive entropy pseudo-automorphisms
论文作者
论文摘要
我们研究了三倍的阳性熵生育自动形态。我们确定一些暗示这种自动形态的条件是不可验证的。我们表明，该标准适用于J. Blanc构建的$ \ Mathbb {p}^3 $的正熵birational自动形态的示例，因此表明，对于一般的参数选择，它是不可验证的。此外，我们建立了一个标准，该标准证明了此示例中的自动形态不会在表面上保留纤维结构。
We study positive entropy birational automorphisms of threefolds. We identify some conditions which imply that such an automorphism is non-regularizable. We show that this criterion applies in the example of a positive entropy birational automorphism of $\mathbb{P}^3$ constructed by J. Blanc, thus showing that for a general choice of parameters it is non-regularizable. Additionally, we establish a criterion which proves that the automorphism in this example does not preserve a structure of a fibration over a surface.
