Constraints on automorphism groups of higher dimensional manifolds
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arXiv
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| Format: | Preprint |
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2012
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| _version_ | 1866916033719173120 |
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| author | Bayraktar, Turgay Cantat, Serge |
| author_facet | Bayraktar, Turgay Cantat, Serge |
| contents | In this note, we prove, for instance, that the automorphism group of a rational manifold X which is obtained from CP^k by a finite sequence of blow-ups along smooth centers of dimension at most r with k>2r+2 has finite image in GL(H^*(X,Z)). In particular, every holomorphic automorphism $f:X\to X$ has zero topological entropy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1212_3735 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | Constraints on automorphism groups of higher dimensional manifolds Bayraktar, Turgay Cantat, Serge Complex Variables Algebraic Geometry Dynamical Systems 37F10, 32H50, 14E09 In this note, we prove, for instance, that the automorphism group of a rational manifold X which is obtained from CP^k by a finite sequence of blow-ups along smooth centers of dimension at most r with k>2r+2 has finite image in GL(H^*(X,Z)). In particular, every holomorphic automorphism $f:X\to X$ has zero topological entropy. |
| title | Constraints on automorphism groups of higher dimensional manifolds |
| topic | Complex Variables Algebraic Geometry Dynamical Systems 37F10, 32H50, 14E09 |
| url | https://arxiv.org/abs/1212.3735 |