Periodic points for area-preserving birational maps of surfaces
Periodic points for area-preserving birational maps of surfaces
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DOI：
10.1007/s00209-009-0570-3
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发表时间：
2010-10
影响因子：
0.8
通讯作者：
Katsunori Iwasaki;Takato Uehara
中科院分区：
文献类型：
--
作者：
Katsunori Iwasaki;Takato Uehara
曲面映射的周期点个数的计算是一个基本问题，因为周期点个数随周期趋于无穷大的增长率是一个重要的动力学不变量。然而，这个问题变得困难时，地图承认曲线的周期点。在这种情况下，我们给出了复射影曲面上保面积双有理映射的孤立周期点个数的精确估计。
It is a basic problem to count the number of periodic points of a surface mapping, since the growth rate of this number as the period tends to infinity is an important dynamical invariant. However, this problem becomes difficult when the map admits curves of periodic points. In this situation we give a precise estimate of the number of isolated periodic points for an area-preserving birational map of a projective complex surface.