DOLBEAULT COHOMOLOGY OF COMPLEX NILMANIFOLDS FOLIATED IN TOROIDAL GROUPS

被引：10

作者：

Fino, Anna ^{[1
]}

Rollenske, Soenke ^{[2
]}

Ruppenthal, Jean ^{[3
]}

机构：

[1] Univ Torino, Dipartimento Matemat G Peano, Via Carlo Alberto 10, I-10123 Turin, Italy

[2] Philipps Univ Marburg, FB Math & Informat 12, Hans Meerwein Str 6, D-35032 Marburg, Germany

[3] Univ Wuppertal, Dept Math, Gaussstr 20, D-42119 Wuppertal, Germany

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2019年 / 70卷 / 04期

关键词：

DEFORMATIONS;

D O I：

10.1093/qmathj/haz017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is conjectured that the Dolbeault cohomology of a complex nilmanifold X is computed by left-invariant forms. We prove this under the assumption that X is suitably foliated in toroidal groups and deduce that the conjecture holds in real dimension up to six. Our approach generalizes previous methods, where the existence of a holomorphic fibration was a crucial ingredient.

引用

页码：1265 / 1279

页数：15

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