Compact complex manifolds: an extension of Meersseman's and Lopez de Medrano-Verjovsky's construction

被引：31

作者：

Bosio, F ^{[1
]}

机构：

[1] Univ Poitiers, Dept Math, UFR Sci SP2MI, F-86962 Futuroscope, France

来源：

ANNALES DE L INSTITUT FOURIER | 2001年 / 51卷 / 05期

关键词：

D O I：

10.5802/aif.1855

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we construct new compact complex manifolds as spaces of orbits of linear actions on C-n, generalizing Meersseman's results. We also give some properties of our manifolds.

引用

页码：1259 / +

页数：40

共 13 条

[1]

AKHIEZER DN, 1995, ASPECTS MATH

[2] A CLASS OF COMPACT, COMPLEX MANIFOLDS WHICH ARE NOT ALGEBRAIC [J].

CALABI, E ;

ECKMANN, B .

ANNALS OF MATHEMATICS, 1953, 58 (03) :494-500

[3]

CAMACHO C, 1979, PUBL MATH-PARIS, V48, P5

[4]

DEMEDRANO SL, 1989, LECT NOTES MATH, V1370, P280

[5]

HAEFLIGER A, 1985, COMPOS MATH, V55, P241

[6]

HOPF H, 1948, TOPOLOGIE KOMPLEXEN

[7] SURFACES OF CLASS VIIO [J].

INOUE, M .

INVENTIONES MATHEMATICAE, 1974, 24 (04) :269-310

[8] On the complex geometry of a class of non-Kahlerian manifolds [J].

Loéb, JJ ;

Nicolau, M .

ISRAEL JOURNAL OF MATHEMATICS, 1999, 110 (1) :371-379

[9] Holomorphic flows and complex structures on products of odd dimensional spheres [J].

Loeb, JJ ;

Nicolau, M .

MATHEMATISCHE ANNALEN, 1996, 306 (04) :781-817

[10]

Lopez de Medrano S., 1997, BOL SOC BRAS MAT, V28, P253

← 1 2 →