良圆子格与重合格
Well-rounded sublattices and coincidence site lattices
摘要：
如果一个格的最小长度的格向量跨越周围空间，则该格被称为良好圆化的。我们发现，有很有趣的连接的存在，以及圆的子晶格和重合位置晶格（CSL）。此外，我们还计算了几种平面格的适圆子格的个数，并给出了它们的渐近性质。
英文摘要：
A lattice is called well-rounded, if its lattice vectors of minimal length span the ambient space. We show that there are interesting connections between the existence of well-rounded sublattices and coincidence site lattices (CSLs). Furthermore, we count the number of well-rounded sublattices for several planar lattices and give their asymptotic behaviour.
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。
