A Note on Darboux Polynomials of Monomial Derivations

2015/03/24 by Jiantao Li, Li, Jiantao
Mathematics · #13N15 #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1503.07011

openalex publication_date 2015/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a monomial derivation d proposed by J. Moulin Ollagnier and A. Nowicki in the polynomial ring of four variables, and prove that d has no Darboux polynomials if and only if d has a trivial field of constants.

Citations

• Rational constants of monomial derivations

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