The characteristic variety of a generic foliation

Mathematics – Dynamical Systems

Scientific paper

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12 pages. Misprints corrected, added keywords and MSC subject classification. To appear in Journal of the European Mathematica

Scientific paper

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.

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