Topology of Algebraic Morphisms

被引：0
|
作者：
El Zein, Fouad [1 ]
机构：
[1] Univ Paris 07, Inst Math Jussieu Geometry & Dynam, F-75251 Paris 05, France
来源：
SINGULARITIES I: ALGEBRAIC AND ANALYTIC ASPECTS | 2008年 / 474卷
关键词：
Algebraic geometry; Variation of Hodge structure (VHS); mixed Hodge structure (MHS); Leray spectral sequence; Hard Lefschetz theorem;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We report on topological properties of a projective morphism f : X -> V of algebraic varieties, namely the degeneration of Leray's spectral sequence as a consequence of Hard Lefschetz theorem and Hodge theory. A formula of the decomposition theorem, well adapted to a Hodge theoretic proof is given and is illustrated in the isolated singularity case with coefficients.
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页码：25 / 84
页数：60
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