Arithmetic degrees and dynamical degrees of endomorphisms on surfaces
Arithmetic degrees and dynamical degrees of endomorphisms on surfaces
复制标题
曲面自同态的算术度和动力学度
DOI：
10.2140/ant.2018.12.1635
复制
发表时间：
2017
影响因子：
1.3
通讯作者：
Takahiro Shibata
中科院分区：
文献类型：
--
作者：
Yohsuke Matsuzawa;K. Sano;Takahiro Shibata
对于定义在数域上的光滑射影簇上的支配有理自映射，Shu川口和Joseph H. Silverman证明了在一个有理点上的动力学度等于算术度，该有理点的前向轨道是明确的且Zebraki稠密的。我们给出了一些例子的自映射的产品品种和合理的点，他们的河口，西尔弗曼猜想举行。
For a dominant rational self-map on a smooth projective variety defined over a number field, Shu Kawaguchi and Joseph H. Silverman conjectured that the dynamical degree is equal to the arithmetic degree at a rational point whose forward orbit is well-defined and Zariski dense. We give some examples of self-maps on product varieties and rational points on them for which the Kawaguchi-Silverman conjecture holds.