Deformation of 2-step Nilmanifolds with Abelian Complex Structures

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dc.creatorMcLaughlin, C.
dc.creatorPedersen, H.
dc.creatorPoon, Y. S.
dc.creatorSalamon, S.
dc.date2004-02-04
dc.date.accessioned2026-07-07T05:05:09Z
dc.date.available2026-07-07T05:05:09Z
dc.descriptionWe develop deformation theory for abelian invariant complex structures on a nilmanifold, and prove that in this case the invariance property is preserved by the Kuranishi process. A purely algebraic condition characterizes the deformations leading again to abelian structures, and we prove that such deformations are unobstructed. Various examples illustrate the resulting theory, and the behavior possible in 3 complex dimensions.
dc.identifierhttps://arxiv.org/abs/math/0402069
dc.identifierhttp://arxiv.org/abs/math/0402069
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70067
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subject32G05; 53C15, 53C56, 57S25, 17B30
dc.titleDeformation of 2-step Nilmanifolds with Abelian Complex Structures
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