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中国科学院大学学报 ›› 2008, Vol. 25 ›› Issue (5): 592-597.DOI: 10.7523/j.issn.2095-6134.2008.5.003

• 论文 • 上一篇    下一篇

赋值环的爆发

许宁   

  1. 中国科学院研究生院数学学院
  • 收稿日期:1900-01-01 修回日期:1900-01-01 发布日期:2008-09-15

Blowing-ups of valuation rings

Xu Ning   

  1. School of Mathematical Sciences, Graduate University of the Chinese Academy of Sciences, Beijing 100049, China
  • Received:1900-01-01 Revised:1900-01-01 Published:2008-09-15

摘要: 针对Hartshorne的Algebraic Geometry一书第4章习题12,通过爆发的无穷序列得到了离散和非离散2个赋值环,并具体给出了爆发的过程。

关键词: 离散赋值环, 非离散赋值环, 爆发

Abstract: From the infinite sequences of blowing-ups we get two valuation rings in cases of both discrete and nondiscrete in exercise 4.12 of Hartshorne's Algebraic Geometry.

Key words: discrete valuation ring, nondiscrete valuation ring, blowing-ups