代数曲面上曲线的轨道计数与球堆积
代数几何
2014-09-03 v2 动力系统
摘要
我们将与整阿波罗尼奥斯圆堆积相关的阿波罗尼奥斯群及其某些推广，实现为代数曲面的自同构群。借用轨道计数理论中的一些结果，我们研究了在代数曲面的几何有限自同构群作用下，曲线上某轨道中元素的次数增长的渐近性。
引用
@article{arxiv.1408.0374,
title = {Orbital counting of curves on algebraic surfaces and sphere packings},
author = {Igor Dolgachev},
journal= {arXiv preprint arXiv:1408.0374},
year = {2014}
}
备注
42 pages, 5 figures. New references have been added that allowed the author to strengthen some of the main results of the paper. Also some minor corrections have been made