Revista Matemática Iberoamericana
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Published online: 2003-08-31
Some geometric aspects of Puiseux surfacesJosé M. Tornero (1) Universidad de Sevilla, Spain
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.
Keywords: Algebroid surface, Puiseux power series
Tornero José: Some geometric aspects of Puiseux surfaces. Rev. Mat. Iberoam. 19 (2003), 731-744. doi: 10.4171/RMI/366