4 papers · 1 filter
Lipschitz geometry of the image of finite mappings
Juan José Nuño Ballesteros, Vinícius de Oliveira Prado, Guillermo Peñafort Sanchis +1
This paper is devoted to the study of the LNE property in complex analytic hypersurface parametrized germs, that is, the sets that are images of finite analytic map germs from $(\m…
On the analytic structure of double and triple points in the target of finite holomorphic multi-germs
Juan J. Nuño-Ballesteros, Guillermo Peñafort Sanchis, Cinzia Villa
We study the analytic structure of the double and triple point spaces and of finite multi-germs , based on results of Mond a…
Iterated multiple points I: functoriality, defining equations and pathologies
Juan José Nuño Ballesteros, Guillermo Peñafort Sanchis
This is the first of a two-part work on Kleiman's iterated multiple point spaces. We show general properties of these spaces, leading to explicit equations describing them for maps…
Kato-Matsumoto-type results for disentanglements
Matthias Zach, Guillermo Peñafort Sanchis
We consider the possible disentanglements of holomorphic map germs , , with nonisolated locus of instability $\operatorname{Ins…