R. Giménez Conejero

activity

20212023

collaborators

3 papers

math.AG2023

A note on complex plane curve singularities up to diffeomorphism and their rigidity

A. Fernández-Hernández, R. Giménez Conejero

We prove that, if two germs of plane curves $(C, 0)$ and $(C^{'}, 0)$ with at least one singular branch are equivalent by a (real) smooth diffeomorphism, then $C$ is complex isomorphic…

math.AG2022

A weak version of Mond's conjecture

R. Giménez Conejero, J. J. Nuño-Ballesteros

We prove that a map germ $f : (C^{n}, S) \to (C^{n + 1}, 0)$ with isolated instability is stable if and only if $μ_{I} (f) = 0$ , where $μ_{I} (f)$ is the image Milnor number define…

math.AG2021

Thom condition and Monodromy

R. Giménez Conejero, Lê Dũng Tráng, J. J. Nuño-Ballesteros

We give the definition of the Thom condition and we show that given any germ of complex analytic function $f : (X, x) \to (C, 0)$ on a complex analytic space $X$ , there exists a…