Invariant Hypersurfaces for Positive Characteristic Vector Fields
نویسنده
چکیده
We show that a generic vector field on an affine space of positive characteristic admits an invariant algebraic hypersurface. This is in sharp contrast with the characteristic zero case where Jouanolou’s Theorem says that a generic vector field on the complex plane does not admit any invariant algebraic curve.
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تاریخ انتشار 2001