Simple Abelian Varieties and Primitive Automorphisms of Null Entropy of Surfaces
Simple Abelian Varieties and Primitive Automorphisms of Null Entropy of Surfaces
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DOI：
10.1007/978-3-319-29959-4_11
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发表时间：
2014-12
期刊：
影响因子：
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通讯作者：
K. Oguiso
中科院分区：
文献类型：
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作者：
K. Oguiso
我们刻画了简单复阿贝尔簇和简单阿贝尔曲面的平移自同构的自同构性。应用这一结果由于迪勒和Favre一起，我们然后分类所有原始的双有理自同构平凡的第一动力度光滑的射影曲面在代数闭域的任何特征。
We characterize simple complex abelian varieties and simple abelian surfaces in terms of primitivity of translation automorphisms. Applying this together with a result due to Diller and Favre, we then classify all primitive birational automorphisms with trivial first dynamical degree of smooth projective surfaces over an algebraically closed field of any characteristic.