Blowing-ups and Valuations on Surfaces  

作　　者：Ning XU 

机构地区：[1]Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2011年第7期1305-1314,共10页数学学报（英文版）

摘　　要：In this paper, we show that all the nontrivial valuations on surfaces can be given by the infinite sequences of blowing-ups, and give the process of blowing-ups.In this paper, we show that all the nontrivial valuations on surfaces can be given by the infinite sequences of blowing-ups, and give the process of blowing-ups.

关 键 词：VALUATION HEIGHT RANK totally ordered group blowing-ups 

分 类 号：TN86[电子电信—信息与通信工程] P207[天文地球—测绘科学与技术]