2009/05/03 by Abdallah Assi, Assi, Abdallah
Computer Science · Engineering · Mathematics · #32S25 #32S70 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Mathematics and Applications #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.0905.0275
openalex publication_date 2009/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
This paper has two objectives: we first generalize the theory of Abhyankar-Moh to quasi-ordinary polynomials, then we use the notion of approximate roots and that of generalized Newton polygons in order to prove the embedding conjecture for this class of polynomials. This conjecture -made by S.S. Abhyankar and A. Sathaye- says that if a hypersurface of the affine space is isomorphic to a coordinate, then it is equivalent to it.