%0 Journal Article
%T Classification of valuations on surfaces<br>曲面上赋值的分类
%A XU Ning
%A <br>许宁
%J 中国科学院研究生院学报
%D 2009
%I 
%X By letting K be a finitely generated field extension of k and v be a k-valuation of K, we define the height of the valuation. Based on this we obtain the complete classification of valuations on surfaces. In addition, we get the relationship between the valuation and transcendental power series.
%K valuation
%K height
%K rank
%K totally ordered group
%K transcendental power series<br>赋值
%K 高度
%K 秩
%K 全序群
%K 超越幂级数
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=B5EDD921F3D863E289B22F36E70174A7007B5F5E43D63598017D41BB67247657&cid=B47B31F6349F979B&jid=67CDFDECD959936E166E0F72DE972847&aid=58CEBC32C3B214B6DE6EFD03C5D0AE35&yid=DE12191FBD62783C&vid=96C778EE049EE47D&iid=38B194292C032A66&sid=F50A8B5513721E1C&eid=AF507FDD66D991DA&journal_id=1002-1175&journal_name=中国科学院研究生院学报&referenced_num=0&reference_num=8