Dynamical degree and arithmetic degree of endomorphisms on product varieties
Dynamical degree and arithmetic degree of endomorphisms on product varieties
复制标题
产品品种自同态的动态度和算术度
作者：
K. Sano
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（第一）动力学度等于在一个有理点的算术度，该有理点的前向轨道是明确定义的，并且是Zebriki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 (first) 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.