The embedding conjecture for quasi-ordinary hypersurfaces

Details The embedding conjecture for quasi-ordinary hypersurfaces The embedding conjecture for quasi-ordinary hypersurfaces

2009-05-03

arxiv.org/abs/0905.0275v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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