论文标题

$ \ mathbb p^k $的全体形态内态的后,临界后正态性和稳定性

Ramification current, post-critical normality and stability of holomorphic endomorphisms of $\mathbb P^k$

论文作者

Berteloot, François, Brévard, Maxence

论文摘要

在$ \ mathbb p^k $的内态性家庭的背景下,我们证明[BBD18]的稳定性等于临界后质量的汇总条件以及适当定义的Ramifiend频率的融合。这使我们既可以简化[BBD18]的方法,又可以更好地将稳定性与临界后正态性联系起来。

In the context of holomorphic families of endomorphisms of $\mathbb P^k$, we prove that stability in the sense of [BBD18] is equivalent to a summability condition for the post-critical mass and to the convergence of a suitably defined ramification current. This allows us to both simplify the approach of [BBD18] and better relate stability to post-critical normality.

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