The embedding conjecture for quasi-ordinary hypersurfaces
Algebraic Geometry
2009-05-05 v1 Commutative Algebra
Abstract
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.
Cite
@article{arxiv.0905.0275,
title = {The embedding conjecture for quasi-ordinary hypersurfaces},
author = {Abdallah Assi},
journal= {arXiv preprint arXiv:0905.0275},
year = {2009}
}