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.

Anexos:

• characteristic.pdf