4 papers
math.DS2014
Sur le théorème KAM
Mauricio Garay
In this short note, I explain how the non-degeneracy condition of the KAM can be bypassed. The first version of the note has been submitted for publication back in 2010 and this ve…
math.AG2013
Détermination finie sur un espace de Stein
Mauricio Garay
Consider the ring of holomorphic function germs in and denote by the maximal ideal of this ring. For any a holomorphic function germ with an isolated critical point,…
math.DS2009
Espaces vectoriels échelonnés
Mauricio Garay
The paper is concerned with group actions, in the context of analytic dynamical systems.
math.AG2005
La monodromie Hamiltonienne des cycles évanescents
Mauricio D. Garay
We study the monodromy of vanishing cycles for map-germs $f:(C^{2n},0) \to (\CM^k,0)$ whose components are in involution. Although the singular fibres of such maps have non-isolate…