The characteristic variety of a generic foliation

Abstract

We confirm a conjecture of Bernstein-Lunts which predicts that the characteristic variety of a generic polynomial vector field has no homogeneous involutive subvarieties besides the zero section and subvarieties of fibers over singular points.

arXiv comment12 pages. Misprints corrected, added keywords and MSC subject classification. To appear in Journal of the European Mathematical Society.