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Blowing-ups and valuations on surfaces |
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| Authors: | Ning Xu |
| Affiliation: | Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. China |
| Abstract: | In this paper, we show that all the nontrivial valuations on surfaces can be given by the infinite sequences of blowing-ups, and give the process of blowing-ups. |
| Keywords: | Valuation height rank totally ordered group blowing-ups |
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