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arXiv · 1704.08109

Algebraic approximations of compact Kähler threefolds of Kodaira dimension 0 or 1

Hsueh-Yung Lin
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Abstract

We prove that every compact Kähler threefold $X$ of Kodaira dimension $κ= 0$ or $1$ has a $\mathbf{Q}$-factorial bimeromorphic model $X'$ with at worst terminal singularities such that for each curve $C \subset X'$, the pair $(X',C)$ admits a locally trivial algebraic approximation such that the restriction of the deformation of $X'$ to some neighborhood of $C$ is a trivial deformation. As an application, we prove that every compact Kähler threefold with $κ= 0$ or $1$ has an algebraic approximation.

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Hsueh-Yung Lin. 2017-10-03. Algebraic approximations of compact Kähler threefolds of Kodaira dimension 0 or 1. https://arxiv.org/abs/1704.08109

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