Kodaira problem

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:concerns compact Kähler manifolds
projective varieties
gptkbp:field gptkb:algebraic_geometry
https://www.w3.org/2000/01/rdf-schema#label Kodaira problem
gptkbp:namedAfter gptkb:Kunihiko_Kodaira
gptkbp:relatedTo Kähler manifold
deformation theory
projective manifold
gptkbp:solvedBy Claire Voisin (counterexamples in dimension 4 and higher)
gptkbp:status open in higher dimensions
solved in dimension 2
gptkbp:type whether every compact Kähler manifold is deformation equivalent to a projective manifold
gptkbp:bfsParent gptkb:Claire_Voisin
gptkbp:bfsLayer 4