English

Some geometric aspects of Puiseux surfaces

Algebraic Geometry 2010-05-31 v1 Commutative Algebra

Abstract

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

Cite

@article{arxiv.math/0703623,
  title  = {Some geometric aspects of Puiseux surfaces},
  author = {Jose M. Tornero},
  journal= {arXiv preprint arXiv:math/0703623},
  year   = {2010}
}

Comments

Preliminary version (October 2002). Final version already published (2003)

R2 v1 2026-07-22T17:53:00.743Z