关于双有理变换度增长的注记
Remarks on the degree growth of birational transformations
摘要：
我们看看序列的正整数，可以实现为度序列的迭代的理性占主导地位的映射光滑的投影品种在任意领域。新的限制度增长的自同态的仿射空间和度序列的例子。我们还证明了有理映射的所有度序列的集合是可数的，这推广了Bonifant和Fornaess的一个结果。
英文摘要：
We look at sequences of positive integers that can be realized as degree sequences of iterates of rational dominant maps of smooth projective varieties over arbitrary fields. New constraints on the degree growth of endomorphisms of the affine space and examples of degree sequences are displayed. We also show that the set of all degree sequences of rational maps is countable; this generalizes a result of Bonifant and Fornaess.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
