| 曲面上赋值的分类 |
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| 引用本文： | 许宁.曲面上赋值的分类[J].中国科学院研究生院学报,2009,26(3):289-295. |
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| 作者姓名： | 许宁 |
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| 作者单位： | 中国科学院研究生院,北京,100049 |
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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.
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| 关 键 词： | 赋值 高度 秩 全序群 超越幂级数 |
| 收稿时间： | 2008-03-21 |
| 修稿时间： | 2008-07-01 |
Classification of valuations on surfaces |
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| XU Ning.Classification of valuations on surfaces[J].Journal of the Graduate School of the Chinese Academy of Sciences,2009,26(3):289-295. |
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| Authors: | XU Ning |
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| Institution: | Graduate University of the Chinese Academy of Sciences,Beijing 100049,China |
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| 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. |
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| Keywords: | valuation height rank totally ordered group transcendental power series |
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