Dolbeault cohomology of complex nilmanifolds foliated in toroidal groups

DOI10.1093/qmath/haz017zbMath1486.32004arXiv1808.08090OpenAlexW2957216635MaRDI QIDQ5000346

Jean Ruppenthal, Sönke Rollenske, Anna Fino

Publication date: 12 July 2021

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.08090

zbMATH Keywords

Dolbeault cohomologytoroidal groupcomplex nilmanifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Nilpotent and solvable Lie groups (22E25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Dynamical aspects of holomorphic foliations and vector fields (37F75) Local cohomology of analytic spaces (32C36)

Related Items (11)

Twisted Dolbeault cohomology of nilpotent Lie algebras ⋮ Vertical-horizontal decomposition of Laplacians and cohomologies of manifolds with trivial tangent bundles ⋮ Locally conformally Kähler solvmanifolds: a survey ⋮ Bott-Chern hypercohomology and bimeromorphic invariants ⋮ Maximal nilpotent complex structures ⋮ Abelian \(J\)-invariant ideals on nilpotent Lie algebras ⋮ Dolbeault cohomology for almost complex manifolds ⋮ Deformations of Dolbeault cohomology classes for Lie algebra with complex structures ⋮ Abelian complex structures and generalizations ⋮ Complex structures on nilpotent Lie algebras with one-dimensional center ⋮ On the structure of double complexes

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