A general description of the terms in the Frolicher spectral sequence

被引：27

作者：

Cordero, LA

Fernandez, M

Ugarte, L

Gray, A

机构：

[1] UNIV SANTIAGO DE COMPOSTELA, FAC MATEMAT, DEPT GEOMETRIA & TOPOL, SANTIAGO DE COMPOSTELA 15705, SPAIN

[2] UNIV BASQUE COUNTRY, FAC CIENCIAS, DEPT MATH, BILBAO, SPAIN

[3] UNIV MARYLAND, DEPT MATH, COLLEGE PK, MD 20742 USA

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 1997年 / 7卷 / 01期

关键词：

complex manifolds; compact nilmanifolds; Dolbeault cohomology; Frolicher spectral sequence;

D O I：

10.1016/S0926-2245(96)00038-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An explicit description of the Frolicher spectral sequence is given that is useful for calculations for compact nilmanifolds. We use the description to exhibit examples of compact complex nilmanifolds of (complex)dimension 3 for which the Frolicher spectral sequence does not degenerate at the second term.

引用

页码：75 / 84

页数：10

共 12 条

[1]

[Anonymous], 1978, Principles of algebraic geometry

[2]

BARTH W, 1984, ERGEBNISSE MATH 3, V4

[3]

CORDERO LA, 1987, CR ACAD SCI I-MATH, V305, P753

[4] THE FROLICHER SPECTRAL SEQUENCE FOR COMPACT NILMANIFOLDS [J].