Algebraic approximations of compact Kähler threefolds

Abstract

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

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

Cited by in corpus (2)

• Finite groups of bimeromorphic selfmaps of non-uniruled Kähler threefolds
• Dimension four simply connected Voisin manifolds