Preprint A661/2010
The Characteristic variety of a generic foliation
Jorge Vitório Pereira
Keywords: characteristic foliation | invariant variety | $\mathcal D$-modules
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.