Foliations with radial Kupka set and pencils of Calabi–Yau hypersurfaces

Omegar Calvo-Andrade, Luís Gustavo Mendes, Ivan Pan
2006 Compositio Mathematica  
We show that holomorphic singular codimension one foliations of the complex projective space with a Kupka singular set of radial type and verifying some global hypotheses have rational first integral. The generic elements of such pencils are Calabi-Yau.
doi:10.1112/s0010437x06002375 fatcat:ibu7ljsjjzhffbx5r3lon6ce2y