Compact Kähler manifolds with no projective specialization
Abstract
We show the existence of a compact Kähler 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.
- Publication:
-
arXiv e-prints
- Pub Date:
- January 2021
- DOI:
- 10.48550/arXiv.2101.01075
- arXiv:
- arXiv:2101.01075
- Bibcode:
- 2021arXiv210101075V
- Keywords:
-
- Mathematics - Algebraic Geometry
- E-Print:
- Minor corrections. Final version to appear in BUMI