Lipman’s Proof of Resolution of Singularities for Surfaces

Lipman’s Proof of Resolution of Singularities for Surfaces
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Lipman 表面奇点解析的证明

DOI:
10.1007/978-1-4613-8655-1_11
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发表时间:
1986
期刊:
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影响因子:
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通讯作者:
M. Artin
M. Artin
中科院分区:
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文献类型:
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作者:
M. Artin

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这是对 Lipman 二维方案奇点解析的精彩证明 [9] 的阐述。他的证明非常概念化,因此适用于任意优秀的方案,例如算术曲面,只需相对较少的额外工作。(参见[4,第四章]优秀方案的定义。)
This is an exposition of Lipman's beautiful proof [9] of resolution of singularities for two-dimensional schemes. His proof is very conceptual, and therefore works for arbitrary excellent schemes, for instance arithmetic surfaces, with relatively little extra work.(See [4, Chap. IV] for the definition of excellent scheme.)