Valuations on arithmetic surfaces
文献类型：期刊论文
| 作者 | Xu Ning |
| 刊名 | Science in china series a-mathematics
 |
| 出版日期 | 2009 |
| 卷号 | 52期号:1页码:66-76 |
| 关键词 | Valuation Height Rank Totally ordered group Big field Transcendental number |
| ISSN号 | 1006-9283 |
| DOI | 10.1007/s11425-008-0093-0 |
| 通讯作者 | Xu ning(xning623@163.com) |
| 英文摘要 | In this paper, we give the definition of the height of a valuation and the definition of the big field c(p, g), where p is a prime and g subset of r is an additive subgroup containing 1. we conclude that c(p,g) is a field and c(p,g) is algebraically closed. based on this the author obtains the complete classification of valuations on arithmetic surfaces. furthermore, for any m <= n is an element of z, let vm, n be an r-vector space of dimension n - m + 1, whose coordinates are indexed from m to n. we generalize the definition of c(p, g), where p is a prime and g subset of v(m,n) is an additive subgroup containing 1. we also conclude that c(p, g) is a field if m <= 0 <= n. |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000264272900005 |
| 出版者 | SCIENCE PRESS |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2402251 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Xu Ning |
| 作者单位 | Chinese Acad Sci, Grad Sch, Dept Math, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu Ning. Valuations on arithmetic surfaces[J]. Science in china series a-mathematics,2009,52(1):66-76. |
| APA | Xu Ning.(2009).Valuations on arithmetic surfaces.Science in china series a-mathematics,52(1),66-76. |
| MLA | Xu Ning."Valuations on arithmetic surfaces".Science in china series a-mathematics 52.1(2009):66-76. |
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来源：中国科学院大学
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