Algebraic approximation and the decomposition theorem for Kähler Calabi–Yau varieties
Benjamin Bakker, Henri Guenancia, Christian Lehn
Abstract
Abstract We extend the decomposition theorem for numerically K -trivial varieties with log terminal singularities to the Kähler setting. Along the way we prove that all such varieties admit a strong locally trivial algebraic approximation, thus completing the numerically K -trivial case of a conjecture of Campana and Peternell.
Topics & Concepts
MathematicsConjectureGravitational singularityAlgebraic numberDecomposition theoremDecompositionPure mathematicsCalabi–Yau manifoldAlgebraic varietyCombinatoricsMathematical analysisBiologyEcologyGeometry and complex manifoldsAlgebraic Geometry and Number TheoryGeometric Analysis and Curvature Flows