首页 期刊 数学学报 The Cross-ratio Compactification of the Configuration Space of Ordered Points on C 【正文】

The Cross-ratio Compactification of the Configuration Space of Ordered Points on C

作者:Risako; FUNAHASHI; Masahiko; TANIGUCHI Department; of; Mathematics; Graduate; School; of; Humanities; and; Sciences; Nara; Women's; University; Nara; 630-8506; Japan; Department; of; Mathematics; Faculty; of; Science; Nara; Women's; University; Nara; 630-8506; Japan
配置空间   点对   有序   紧致   交比  

摘要:A natural compactification of the virtual configuration space of N points on the Riemann sphere  is constructed by using cross-ratios. We show that this compactification is homeomorphic to the Bers’ compactification of the virtual moduli space of a punctured Riemann sphere of type N . In particular, the system of global and explicit coordinates of this standard compactification is given by cross-ratios.

注:因版权方要求,不能公开全文,如需全文,请咨询杂志社

学术咨询 免费咨询 杂志订阅