Weights on cohomology, invariants of singularities, and dual complexes

被引：0
|
作者：
Donu Arapura
Parsa Bakhtary
Jarosław Włodarczyk
机构：
[1] Purdue University,Department of Mathematics
[2] King Fahd University of Petroleum and Minerals,Department of Mathematics and Statistics
来源：
Mathematische Annalen | 2013年 / 357卷
关键词：
Spectral Sequence; Simplicial Complex; Toric Variety; Homotopy Type; Exceptional Divisor;
D O I：
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学科分类号：
摘要：
We study the weight filtration on the cohomology of a proper complex algebraic variety and obtain natural upper bounds on its size, when it is the exceptional divisor of a singularity. We also give bounds for the cohomology of links. The invariants of singularities introduced here gives rather strong information about the topology of rational and related singularities.
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页码：513 / 550
页数：37
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