The Frölicher spectral sequence can be arbitrarily non-degenerate

被引：0
|
作者：
Sönke Rollenske
机构：
[1] Universität Bayreuth,
来源：
Mathematische Annalen | 2008年 / 341卷
关键词：
53C56; 55T99; 22E25; 58A14;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The Frölicher spectral sequence of a compact complex manifold X measures the difference between Dolbeault cohomology and de Rham cohomology. If X is Kähler then the spectral sequence collapses at the E1term and no example with dn ≠  0 for n > 3 has been described in the literature.We construct for n ≥  2 nilmanifolds with left-invariant complex structure Xn such that the n-th differential dn does not vanish. This answers a question mentioned in the book of Griffiths and Harris.
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页码：623 / 628
页数：5
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