Modules of derivations, logarithmic ideals and singularities of maps on analytic varieties

Carles Bivià-Ausina, Konstantinos Kourliouros, Maria Aparecida Soares Ruas

We introduce the module of derivations ${\Theta }_{h,M}$ attached to a given analytic map $h:({\mathbb{C}}^n,0)\to ({\mathbb{C}}^p,0)$ and a submodule $M\subseteq {\mathcal{O}}_n^p$ and analyse sev…