The versal deformation of Kurke-LeBrun manifolds

Bernd Kreussler; Jan Stevens

doi:10.48550/ARXIV.2409.12022

The versal deformation of Kurke-LeBrun manifolds

Bernd Kreussler, Jan Stevens

Mathematics & Computer Studies

Research output: Other contribution

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.

Original language	Undefined/Unknown
DOIs	https://doi.org/10.48550/ARXIV.2409.12022
Publication status	Published - 18 Sep 2024

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10.48550/ARXIV.2409.12022

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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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AU - Stevens, Jan

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N2 - 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.

AB - 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.

UR - https://arxiv.org/abs/2409.12022

U2 - 10.48550/ARXIV.2409.12022

DO - 10.48550/ARXIV.2409.12022

M3 - Other contribution

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The versal deformation of Kurke-LeBrun manifolds

Abstract

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