  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.
