On automorphisms of blowups of $\mathbb{P}^3$

Details On automorphisms of blowups of $\mathbb{P}^3$ On automorphisms of blowups of $\mathbb{P}^3$

2012-02-20

arxiv.org/abs/1202.4224v1

Mathematics

Dynamical Systems

18 pages

Scientific paper

Let $\pi :X\rightarrow \mathbb{P}^3$ be a finite composition of blowups along
smooth centers. We show that for "almost all" of such $X$, if $f\in Aut(X)$
then its first and second dynamical degrees are the same. We also construct
many examples of finite blowups $X\rightarrow \mathbb{P}^3$ every automorphism
of which has zero topological entropy.

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