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arXiv · 2101.01075

Compact K\"ahler manifolds with no projective specialization

Claire Voisin
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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.

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Claire Voisin. 2021-01-04. Compact K\"ahler manifolds with no projective specialization. https://arxiv.org/abs/2101.01075

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