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

作　　者：Risako FUNAHASHI Masahiko TANIGUCHI 

机构地区：[1]Department of Mathematics, Graduate School of Humanities and Sciences,Nara Women’s University [2]Department of Mathematics, Faculty of Science, Nara Women’s University

出　　处：《Acta Mathematica Sinica,English Series》2012年第10期2129-2138,共10页数学学报（英文版）

基　　金：supported by Grants-in-Aid for Scientific Research (C) (Grant No. 23540202);Grant-in-Aids for Scientific Research (B) (Grant No. 20340030)

摘　　要：A natural compactification of the virtual configuration space of N points on the Riemann sphere C 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.A natural compactification of the virtual configuration space of N points on the Riemann sphere C 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.

关 键 词：Cross-ratios configuration space planar domains with nodes 

分 类 号：O189[理学—数学]