Local Cohomology: An Algebraic Introduction with Geometric Applications
Local Cohomology: An Algebraic Introduction with Geometric Applications
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DOI：
10.1017/cbo9780511629204.016
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发表时间：
1998-03
期刊：
影响因子：
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通讯作者：
M. Brodmann;R. Y. Sharp
中科院分区：
文献类型：
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作者：
M. Brodmann;R. Y. Sharp
这本书提供了一个仔细和详细的代数介绍格罗滕迪克的局部上同调理论，并提供了许多插图的应用理论在交换代数和几何的准仿射和准投射品种。涵盖的主题包括Castelnuovo-Mumford正则性，投影簇的Fulton-Hansen连通性定理，以及局部上同调与理想和层上同调的减少之间的联系。它是专为研究生谁有一些经验的基本交换代数和同调代数，也为专家交换代数和代数几何。
This book provides a careful and detailed algebraic introduction to Grothendieck’s local cohomology theory, and provides many illustrations of applications of the theory in commutative algebra and in the geometry of quasi-affine and quasi-projective varieties. Topics covered include Castelnuovo–Mumford regularity, the Fulton–Hansen connectedness theorem for projective varieties, and connections between local cohomology and both reductions of ideals and sheaf cohomology. It is designed for graduate students who have some experience of basic commutative algebra and homological algebra, and also for experts in commutative algebra and algebraic geometry.