Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Jouanolou's theorem"'
Autor:
Chèze, Guillaume
In this article we bound the number of remarkable values of a polynomial vector field. The proof is short and based on Jouanolou's theorem about rational first integrals of planar polynomial derivations. Our bound is given in term of the size of a Ne
Externí odkaz:
http://arxiv.org/abs/1310.1275
Autor:
Chèze, Guillaume
Publikováno v:
In Journal of Differential Equations 15 May 2015 258(10):3535-3545
Autor:
Pereira, Jorge Vitorio
Publikováno v:
Journal of Pure and Applied Algebra, 171 2-3, pp.295-301, 2002.
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
Externí odkaz:
http://arxiv.org/abs/math/0009019
Autor:
Guillaume Chèze
Publikováno v:
Journal of Differential Equations
Journal of Differential Equations, 2015, ⟨10.1016/j.jde.2015.01.027⟩
Journal of Differential Equations, Elsevier, 2015, ⟨10.1016/j.jde.2015.01.027⟩
Journal of Differential Equations, 2015, ⟨10.1016/j.jde.2015.01.027⟩
Journal of Differential Equations, Elsevier, 2015, ⟨10.1016/j.jde.2015.01.027⟩
International audience; In this article we bound the number of remarkable values of a polynomial vector field. The proof is short and based on Jouanolou's theorem about rational first integrals of planar polynomial derivations. Our bound is given in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b48032ab4cf147838d70a40f16a05de7
https://doi.org/10.1016/j.jde.2015.01.027
https://doi.org/10.1016/j.jde.2015.01.027
Autor:
Golota, Aleksei1 (AUTHOR) agolota@hse.ru
Publikováno v:
Mathematische Nachrichten. Nov2023, Vol. 296 Issue 11, p5012-5029. 18p.
Autor:
Lizarbe, Ruben1 (AUTHOR) ruben.monje@ime.uerj.br
Publikováno v:
Mathematische Nachrichten. Sep2023, Vol. 296 Issue 9, p3877-3891. 15p.
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations. 2021, Issue 92-94, p1-56. 56p.
Publikováno v:
Journal für die Reine und Angewandte Mathematik; Aug2022, Vol. 2022 Issue 789, p43-101, 59p
Autor:
Chèze, Guillaume1 guillaume.cheze@math.univ-toulouse.fr
Publikováno v:
Journal of Differential Equations. Jul2014, Vol. 257 Issue 2, p601-609. 9p.
Autor:
Chèze, Guillaume
Darboux's theorem and Jouanolou's theorem deal with the existence of first integrals and rational first integrals of a polynomial vector field. These results are given in terms of the degree of the polynomial vector field. Here we show that we can ge
Externí odkaz:
http://arxiv.org/abs/1210.7780