A Jacobian module for disentanglements and applications to Mond's conjecture

J. Fernández de Bobadilla, J. J. Nuño-Ballesteros, G. Peñafort-Sanchis

Given a germ of holomorphic map $f$ from ${\mathbb{C}}^n$ to ${\mathbb{C}}^{n+1}$, we define a module $M(f)$ whose dimension over $\mathbb{C}$ is an upper bound for the $\mathcal{A}$-codim…