Mathematics > Algebraic Geometry
[Submitted on 18 Sep 2024
]
Title: The versal deformation of Kurke-LeBrun manifolds
Title: Kurke-LeBrun流形的普遍变形
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.
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