Real Polarizable Hodge Structures Arising from Foliations

被引：0
|
作者：
Christopher Deninger
Wilhelm Singhof
机构：
[1] WWU Münster,Mathematisches Institut
[2] Universität Düsseldorf,Mathematisches Institut
来源：
Annals of Global Analysis and Geometry | 2002年 / 21卷
关键词：
foliation; leafwise cohomology; Hodge structure; symmetric spaces;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We construct real polarizable Hodge structures on the reduced leafwisecohomology of Kähler–Riemann foliations by complex manifolds. As inthe classical case one obtains a hard Lefschetz theorem for thiscohomology. Serre's Kählerin analogue of the Weil conjectures carriesover as well. Generalizing a construction of Looijenga and Lunts oneobtains possibly infinite-dimensional Lie algebras attached toKähler–Riemann foliations.
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页码：377 / 399
页数：22
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