中国科学院大学学报 ›› 2009, Vol. 26 ›› Issue (3): 289-295.DOI: 10.7523/j.issn.2095-6134.2009.3.001
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许宁
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XU Ning
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摘要：
令K为k的有限生成域扩张,v是K的k-赋值,定义了赋值的高度.在此基础上,得到了曲面赋值的完整分类,以及赋值和超越幂级数的关系.
关键词: 赋值, 高度, 秩, 全序群, 超越幂级数
Abstract:
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
中图分类号:
O153.3
O187.1
许宁. 曲面上赋值的分类[J]. 中国科学院大学学报, 2009, 26(3): 289-295.
XU Ning. Classification of valuations on surfaces[J]. , 2009, 26(3): 289-295.
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链接本文: http://journal.ucas.ac.cn/CN/10.7523/j.issn.2095-6134.2009.3.001
http://journal.ucas.ac.cn/CN/Y2009/V26/I3/289
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