Clasificación de puntos dobles de superficies algebroides sumergidas

Abstract

It is a well-known result that one can associate to each embedded algrebroid surfaces (E.A.S.), such that mult(s)=2, and algebroid curve c(v) (not necesarilly reduced). On the other hand, is [5] we associate to each E.A.S. W a finite weighted tree Ar (W). In this work we prove that if S and S' are E.A.S. with m(S) = m(S')= 2, then Ar(S')= Ar(S) if and only if C(S) and C(s') are equisingular as non-reduced curves.