On the Ampleness of Positive CR Line Bundles over Levi-flat Manifolds

Masanori Adachi
2014 Publications of the Research Institute for Mathematical Sciences  
We give an example of a compact Levi-flat CR 3-manifold with a positive-along-leaves CR line bundle which is not ample with respect to transversely infinitely differentiable CR sections. This example shows that we cannot improve the regularity of Kodaira type embedding theorem for compact Levi-flat CR manifolds obtained by Ohsawa and Sibony.
doi:10.4171/prims/127 fatcat:as4a25npnjfjfosabdjeyo5f7u