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On the automorphism group of rational manifolds

Dynamical Systems 2012-10-18 v1 Algebraic Geometry Complex Variables

Abstract

In this note, we prove that every automorphism of a rational manifold which is obtained from Pk\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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Cite

@article{arxiv.1210.4651,
  title  = {On the automorphism group of rational manifolds},
  author = {Turgay Bayraktar},
  journal= {arXiv preprint arXiv:1210.4651},
  year   = {2012}
}

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6 pages