Algebraic approximations of compact K\"ahler threefolds

Hsueh-Yung Lin

Algebraic approximations of compact K\"ahler threefolds

Algebraic Geometry 2024-01-31 v4 Complex Variables

Authors: Hsueh-Yung Lin

Abstract

We prove that every compact K\"ahler threefold has arbitrarily small deformations to some projective manifolds, thereby solving the Kodaira problem in dimension 3.

Keywords

compact Kähler threefold algebraic approximation Kodaira problem projective manifold deformation

Cite

@article{arxiv.1710.01083,
  title  = {Algebraic approximations of compact K\"ahler threefolds},
  author = {Hsueh-Yung Lin},
  journal= {arXiv preprint arXiv:1710.01083},
  year   = {2024}
}

Comments

Minor revision, updating the references related to the abundance conjecture for compact K\"ahler threefolds, after the completion of its proof in arXiv:2306.00671. The main results remain intact

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