COMPLEX-ANALYTIC STRUCTURES ON MOMENT-ANGLE MANIFOLDS

被引：1

作者：

Panov, Taras ^{[1
,2
,3
]}

Ustinovsky, Yuri ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Dept Math & Mech, Moscow 119991, Russia

[2] Inst Theoret & Expt Phys, Moscow 117259, Russia

[3] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 117901, Russia

来源：

MOSCOW MATHEMATICAL JOURNAL | 2012年 / 12卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Moment-angle manifold; simplicial fan; simple polytope; complex structure; Dolbeault cohomology; Hodge numbers;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the moment-angle manifolds corresponding to complete simplicial fans admit non-Kahler complex-analytic structures. This generalises the known construction of complex-analytic structures on polytopal moment-angle manifolds, coming from identifying them as LVM-manifolds. We proceed by describing Dolbeault cohomology and some Hodge numbers of moment-angle manifolds by applying the Borel spectral sequence to holomorphic principal bundles over toric varieties.

引用

页码：149 / 172

页数：24

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