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- W328687140 abstract "Let $X_0$ be a smooth projective threefold which is Fano or which has Picard number $1$. Let $pi :Xrightarrow X_0$ be a finite composition of blowups along smooth centers. We show that for almost all of such $X$, if $fin Aut(X)$ then its first and second dynamical degrees are the same. We also construct many examples of finite blowups $Xrightarrow X_0$, on which any automorphism is of zero entropy. The main idea is that because of the log-concavity of dynamical systems and the invariance of Chern classes under holomorphic automorphisms, there are some constraints on the nef cohomology classes. We will also discuss a possible application of these results to a threefold constructed by Kenji Ueno." @default.
- W328687140 created "2016-06-24" @default.
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- W328687140 date "2015-01-07" @default.
- W328687140 modified "2023-09-27" @default.
- W328687140 title "Automorphisms of blowups of threefolds being Fano or having Picard number $1$" @default.
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