| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4669421 | Bulletin des Sciences Mathématiques | 2010 | 7 Pages |
Abstract
In 1979 Jouanolou showed that if the number of invariant algebraic hypersurfaces of a polynomial vector field in Rn or Cn of degree d is at least , then the vector field has a rational first integral. His proof used sophisticated tools of algebraic geometry. We provide an easy and elementary proof of Jouanolou's result using linear algebra.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
