An analogous of Jouanolou's Theorem in positive characteristic

Details An analogous of Jouanolou's Theorem in positive characteristic An analogous of Jouanolou's Theorem in positive characteristic

2000-09-02

arxiv.org/abs/math/0009019v1

Journal of Pure and Applied Algebra, 171 2-3, pp.295-301, 2002.

Mathematics

Algebraic Geometry

5 pages, LaTeX

Scientific paper

10.1016/S0022-4049(01)00150-5

We show that a generic vector field on an affine space of positive
characteristic admits an invariant algebraic hypersurface. This contrast with
Jouanolou's Theorem that shows that in characteristic zero the situation is
completely opposite. That is a generic vector field in the complex plane does
not admit any invariant algebraic curve.

Affiliated with

Also associated with

No associations

Rating

An analogous of Jouanolou's Theorem in positive characteristic does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An analogous of Jouanolou's Theorem in positive characteristic, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An analogous of Jouanolou's Theorem in positive characteristic will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-470941