库克-勒布伦流形的 versal 变形

arXiv - MATH - Differential Geometry Pub Date : 2024-09-18 DOI:arxiv-2409.12022

Bernd Kreussler, Jan Stevens

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引用次数: 0

摘要

捻子空间是某些具有额外实纤维束结构的紧凑复三维空间。我们在此重点讨论$3\mathbb{C}\mathbb{P}^2$上的扭转空间。这类空间要么是双复曲面的小分辨率，要么可以被描述为圆锥束的修正。最后一种类型更为特殊：它们变形为双实体。我们在更一般的背景下给出了这种变形的明确描述。

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The versal deformation of Kurke-LeBrun manifolds

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.

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arXiv - MATH - Differential Geometry

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