Browsing Singularity Theory and Algebraic Geometry by Author "Pe Pereira, M."
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The Nash Problem from a Geometric and Topological Perspective
Fernández de Bobadilla, J.; Pe Pereira, M. (20180417)We survey the proof of the Nash conjecture for surfaces and show how geometric and topological ideas developed in previous articles by the au thors influenced it. Later we summarize the main ideas in the higher dimen ... 
The Nash Problem from Geometric and Topological Perspective
Fernández de Bobadilla, J.; Pe Pereira, M. (20200301)We survey the proof of the Nash conjecture for surfaces and show how geometric and topological ideas developed in previous articles by the authors influenced it. Later, we summarize the main ideas in the higher dimensional ... 
On the generalized Nash problem for smooth germs and adjacencies of curve singularities
Fernández de Bobadilla, J.; Pe Pereira, M.; PopescuPampu, P. (20171210)In this paper we explore the generalized Nash problem for arcs on a germ of smooth surface: given two prime divisors above its special point, to determine whether the arc space of one of them is included in the arc space ... 
Representation of surface homeomorphisms by têteàtête graphs
Fernández de Bobadilla, J.; Pe Pereira, M.; Portilla Cuadrado, P. (20170621)We use têteàtête graphs as defined by N. A'campo and extended versions to codify all periodic mapping classes of an orientable surface with nonempty boundary, improving work of N. A'Campo and C. Graf. We also introduce ...