正熵伪自同构的正则化
Regularizations of positive entropy pseudo-automorphisms
摘要:
研究了三重正熵双有理自同构。我们确定了一些条件,这意味着这样的自同构是非正则化的。我们表明,这一标准适用于一个正熵双有理自同构的$\mathbb{P}^3$ J. Blanc构造的例子,从而表明,对于一般的参数选择,它是nonregularizable。此外,我们建立了一个标准,证明在这个例子中的自同构不保持纤维化的结构在一个表面上。
英文摘要:
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.
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