This paper is part of the author's thesis, recently presented, where the following problem is treated: Characterizing the tangent cone and the equimultiple locus of a Puiseux surface (that is, an algebroid embedded surface admitting an equation whose roots are Puiseux power series), using a set of exponents appearing in a root of an equation. The aim is knowing to which extent the well-known results for the quasi-ordinary case can be extended to this much wider family.
"Some geometric aspects of Puiseux surfaces." Rev. Mat. Iberoamericana 19 (2) 731 - 744, September, 2003.