On the Use of Local Cohomology in Algebra and Geometry

On the Use of Local Cohomology in Algebra and Geometry
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论局部上同调在代数和几何中的应用

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发表时间:
1998
期刊:
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通讯作者:
P. Schenzel
P. Schenzel
中科院分区:
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文献类型:
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作者:
P. Schenzel

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局部上同调是交换代数和代数几何的几个分支中的有用工具。本系列讲座的主要目的是说明其中一些技术。续集中介绍的材料需要一些有关交换的基础知识。同调代数。教材的基础章节[9]、[28]和[48]是准备时推荐阅读的内容。作者的目的是除了这些教科书以及[7]中的例子之外,还介绍局部上同调的应用。
Local cohomology is a useful tool in several branches of commutative algebra and algebraic geometry. The main aim of this series of lectures is to illustrate a few of these techniques. The material presented in the sequel needs some basic knowledge about commutative resp. homological algebra. The basic chapters of the textbooks [9], [28], and [48] are a recommended reading for the preparation. The author’s intention was to present applications of local cohomology in addition to the examples in these textbooks as well as those of [7].