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Relative dynamical degree of monomial maps
International Journal of Mathematics ( IF 0.6 ) Pub Date : 2021-03-25 , DOI: 10.1142/s0129167x21500294
Chunghyun Lee 1
Affiliation  

We compute all relative dynamical degrees of equivariant dominant rational maps on toric varieties. We use the intersection theory on toric varieties using Minkowski weights. As a result, we see that the relative dynamical degrees can be reduced to the dynamical degrees on toric varieties. Hence these are all algebraic integers.

中文翻译:

单项式映射的相对动态度

我们计算复曲面变体上等变主导有理映射的所有相对动态度。我们使用 Minkowski 权重对复曲面变体使用交集理论。结果,我们看到相对动态度可以简化为复曲面变体的动态度。因此,这些都是代数整数。
更新日期:2021-03-25
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