Arithmetic and dynamical degrees of self-morphisms of semi-abelian varieties
Arithmetic and dynamical degrees of self-morphisms of semi-abelian varieties
复制标题
半阿贝尔簇自同构的算术和动力学度
DOI：
10.1017/etds.2018.117
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发表时间：
2019
影响因子：
0.9
通讯作者：
Yohsuke Matsuzawa and Kaoru Sano
中科院分区：
文献类型：
--
作者：
Kae Takahashi;Gaku Takimoto;Ayumi Matsuo;Yoshihisa Suyama;and Takuya Sato;高橋華江・佐藤拓哉・瀧本岳;Matsuzawa Yohsuke;Yohsuke Matsuzawa and Kaoru Sano
证明了川口-西尔弗曼关于半交换簇的自态射的算术度和动力度的一个猜想。此外，我们还确定了半交换簇的轨道的算术度和自态的（第一）动力学度的集合。
We prove a conjecture by Kawaguchi–Silverman on arithmetic and dynamical degrees, for self-morphisms of semi-abelian varieties. Moreover, we determine the set of the arithmetic degrees of orbits and the (first) dynamical degrees of self-morphisms of semi-abelian varieties.