Darboux Integrability For Polynomial Vector Fields Invariant Under Action of Finite Group

Author:

Corrêa Maurício

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference16 articles.

1. Arnold V.I.: Geometric Methods in Theory of Ordinary Differential Equations. Springer, Berlin (1982)

2. Bourbaki N.: Groupes et algèbres de Lie, Ch. V. Hermann, Paris (1968)

3. Corrêa M. Jr.: Darboux–Jouanolou–Ghys integrability for one-dimensional foliations on toric varieties. Bull. des Sci. Math. 1885, 693–704 (2010)

4. Corrêa M. Jr., Maza L.G., Soares M.G.: Algebraic integrability of polynomial differential r-forms. J. Pure Appl. Algebra 215, 2290–2294 (2011)

5. Cox, D., Little, J., O’Shea, D.: Ideals, Varieties, and Algoritms: An Introduction to Computational Algebraic Geometry and Commutative Algebra. Springer, Berlin (1997)

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1. Analytic Varieties Invariant by Holomorphic Foliations and Pfaff Systems;Handbook of Geometry and Topology of Singularities VI: Foliations;2024

2. Positive characteristic Darboux-Jouanolou integrability of differential forms;Journal of Pure and Applied Algebra;2023-02

3. The Poincaré problem for foliations on compact toric orbifolds;Geometriae Dedicata;2021-09-18

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