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- W4289803206 abstract "Let $X$ be a compact Kahler manifold of dimension $kleq 4$ and $f:Xrightarrow X$ a pseudo-automorphism. If the first dynamical degree $lambda_1(f)$ is a Salem number, we show that either $lambda_1(f)=lambda_{k-1}(f)$ or $lambda_1(f)^2=lambda_{k-2}(f)$. In particular, if $mbox{dim}(X)=3$ then $lambda_1(f)=lambda_2(f)$. We use this to show that if $X$ is a complex 3-torus and $f$ is an automorphism of $X$ with $lambda_1(f)>1$, then $f$ has a non-trivial equivariant holomorphic fibration if and only if $lambda_1(f)$ is a Salem number. If $X$ is a complex 3-torus having an automorphism $f$ with $lambda_1(f)=lambda_2(f)>1$ but is not a Salem number, then the Picard number of $X$ must be 0,3 or 9, and all these cases can be realized." @default.
- W4289803206 created "2022-08-05" @default.
- W4289803206 creator A5022763651 @default.
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- W4289803206 date "2013-09-19" @default.
- W4289803206 modified "2023-09-28" @default.
- W4289803206 title "Salem numbers in dynamics of Kahler threefolds and complex tori" @default.
- W4289803206 doi "https://doi.org/10.48550/arxiv.1309.4851" @default.
- W4289803206 hasPublicationYear "2013" @default.
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