 Canonical bundle

The canonical bundle of a complex $n$-manifold is the holomorphic line bundle $K_X={\bigwedge }^n(T^{1,0}X{)}^{\ast }$.

The canonical bundle is a concept from algebraic geometry and differential geometry that relates to the study of line bundles on varieties and smooth manifolds. It is an important tool in the study of the geometry and topology of algebraic varieties and complex manifolds. ### In Algebraic Geometry 1.