Global Geometrical Coordinates on Falbel's Cross-Ratio Variety

Canadian mathematical bulletin

关键词: category;    pushout;    amalgamation;   

DOI  :  10.4153/CMB-2009-031-3

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Falbel has shown that four pairwise distinct points on the boundaryof acomplex hyperbolic $2$-space are completely determined, up to conjugationin ${m PU}(2,1)$, by three complex cross-ratios satisfying two realequations. We give global geometrical coordinates on the resultingvariety.

【 授权许可】

Unknown