论文标题
极化动力系统中的轨道计数
Orbit counting in polarized dynamical systems
论文作者
论文摘要
我们将作用于$ \ mathbb {p}^n $作用于$ \ Mathbb {p}^n $的有限生成的半群扩展到某些无限生成的极化半群,这些轨道对投射品种作用。然后,我们将这些结果应用于某些无限的单次多项式集合产生的半群轨道。
We extend recent orbit counts for finitely generated semigroups acting on $\mathbb{P}^N$ to certain infinitely generated, polarized semigroups acting on projective varieties. We then apply these results to semigroup orbits generated by some infinite sets of unicritical polynomials.