Compact K\"ahler manifolds with no projective specialization
Algebraic Geometry
2022-08-23 v2
Abstract
We show the existence of a compact K\"ahler manifold which does not fit in a proper flat family over an irreducible base with one projective (possibly singular) fiber. We also give a topological version of this statement. This strengthens our earlier counterexamples to the Kodaira algebraic approximation problem.
Keywords
Cite
@article{arxiv.2101.01075,
title = {Compact K\"ahler manifolds with no projective specialization},
author = {Claire Voisin},
journal= {arXiv preprint arXiv:2101.01075},
year = {2022}
}
Comments
Minor corrections. Final version to appear in BUMI