论文标题
有关代数功率系列的有限结果
Finiteness results concerning algebraic power series
论文作者
论文摘要
我们通过有限的尺寸可构造集对代数功率系列的明确过滤，测量这些系列的复杂性。作为应用程序，我们对位于电源序列领域定义的代数变体上的代数功率复杂性的代数功率序列的界限给出了界限。
We construct an explicit filtration of the ring of algebraic power series by finite dimensional constructible sets, measuring the complexity of these series. As an application, we give a bound on the dimension of the set of algebraic power series of bounded complexity lying on an algebraic variety defined over the field of power series.
