Journal of University of Chinese Academy of Sciences >
Classification of valuations on surfaces
Received date: 2008-03-21
Revised date: 2008-07-01
Online published: 2009-05-15
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.
Key words： valuation; height; rank; totally ordered group; transcendental power series
XU Ning . Classification of valuations on surfaces[J]. Journal of University of Chinese Academy of Sciences, 2009 , 26(3) : 289 -295 . DOI: 10.7523/j.issn.2095-6134.2009.3.001
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