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arxiv: 1210.4651 · v1 · pith:U7DBFIFInew · submitted 2012-10-17 · 🧮 math.DS · math.AG· math.CV

On the automorphism group of rational manifolds

classification 🧮 math.DS math.AGmath.CV
keywords automorphismrationalalongblow-upscentersdimensionentropyevery
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In this note, we prove that every automorphism of a rational manifold which is obtained from $\Bbb{P}^k$ by a finite sequence blow-ups along smooth centers of dimension at most r with k>2r+2 has zero topological entropy.

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