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1. CJM Online first

 Finite determinacy and stability of flatness of analytic mappings It is proved that flatness of an analytic mapping germ from a complete intersection is determined by its sufficiently high jet. As a consequence, one obtains finite determinacy of complete intersections. It is also shown that flatness and openness are stable under deformations. Keywords:finite determinacy, stability, flatness, openness, complete intersectionCategories:58K40, 58K25, 32S05, 58K20, 32S30, 32B99, 32C05, 13B40

2. CJM 2007 (vol 59 pp. 1069)

Reydy, Carine
 Quotients jacobiens : une approche algÃ©brique Le diagramme d'Eisenbud et Neumann d'un germe est un arbre qui repr\'esente ce germe et permet d'en calculer les invariants. On donne une d\'emonstration alg\'ebrique d'un r\'esultat caract\'erisant l'ensemble des quotients jacobiens d'un germe d'application $(f,g)$ \`a partir du diagramme d'Eisenbud et Neumann de $fg$. Keywords:SingularitÃ©, jacobien, quotient jacobien, polygone de NewtonCategories:14B05, 32S05, 32S50

3. CJM 2000 (vol 52 pp. 1149)

Ban, Chunsheng; McEwan, Lee J.
 Canonical Resolution of a Quasi-ordinary Surface Singularity We describe the embedded resolution of an irreducible quasi-ordinary surface singularity $(V,p)$ which results from applying the canonical resolution of Bierstone-Milman to $(V,p)$. We show that this process depends solely on the characteristic pairs of $(V,p)$, as predicted by Lipman. We describe the process explicitly enough that a resolution graph for $f$ could in principle be obtained by computer using only the characteristic pairs. Keywords:canonical resolution, quasi-ordinary singularityCategories:14B05, 14J17, 32S05, 32S25
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