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

[摘要] 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.

[学科分类] 数学（综合）