Carles Bivià-Ausina

collaborators

2 papers

math.AG2024

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 $Θ_{h, M}$ attached to a given analytic map $h : (C^{n}, 0) \to (C^{p}, 0)$ and a submodule $M \subseteq O_{n}^{p}$ and analyse sev…

math.AG2014

Mixed Łojasiewicz exponents, log canonical thresholds of ideals and bi-Lipschitz equivalence

Carles Bivià-Ausina, Toshizumi Fukui

We study the Łojasiewicz exponent and the log canonical threshold of ideals of $O_{n}$ when restricted to generic subspaces of $C^{n}$ of different dimensions. We obta…