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arXiv:2409.12022 (math)
[Submitted on 18 Sep 2024 ]

Title: The versal deformation of Kurke-LeBrun manifolds

Title: Kurke-LeBrun流形的普遍变形

Authors:Bernd Kreussler, Jan Stevens
Abstract: Twistor spaces are certain compact complex threefolds with an additional real fibre bundle structure. We focus here on twistor spaces over $3\mathbb{C}\mathbb{P}^2$. Such spaces are either small resolutions of double solids or they can be described as modifications of conic bundles. The last type is the more special one: they deform into double solids. We give an explicit description of this deformation, in a more general context.
Abstract: 扭量空间是具有附加实纤维丛结构的某些紧致复三维流形。 我们在此关注的是关于 $3\mathbb{C}\mathbb{P}^2$的扭量空间。 这类空间或者是双重立体的小解,或者可以描述为圆锥束的修改。 后一种类型更为特殊:它们可以变形为双重立体。 我们在更一般的背景下给出了这种变形的显式描述。
Comments: 43 pages
Subjects: Algebraic Geometry (math.AG) ; Differential Geometry (math.DG)
MSC classes: 32L25 (Primary) 32J17, 14J30, 32G05, 14D20 (Secondary)
Cite as: arXiv:2409.12022 [math.AG]
  (or arXiv:2409.12022v1 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.2409.12022
arXiv-issued DOI via DataCite

Submission history

From: Bernd Kreussler [view email]
[v1] Wed, 18 Sep 2024 14:31:59 UTC (51 KB)
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