3 papers
math.AG2024
On the image of a curve in a normal surface by a plane projection
F. Delgado, H. Maugendre
We consider a finite analytic morphism defined from a complex analytic normal surface to . We describe the topology of the image by of a reduce…
math.AG2017
On the growth behaviour of Hironaka quotients
H. Maugendre, F. Michel
We consider a finite analytic morphism $ϕ= (f,g) : (X,p)\to (\C^2,0)$ where is a complex analytic normal surface germ and and are complex analytic function germs. L…
math.AG2016
Pencils and critical locus on normal surfaces
F. Delgado, H. Maugendre
We study linear pencils of curves on normal surface singularities. Using the minimal good resolution of the pencil, we describe the topological type of generic elements of the penc…