86 research outputs found
On the generalized Nash problem for smooth germs and adjacencies of curve singularities
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 of the other
one. We prove that this problem is combinatorial and we explore its relation
with several notions of adjacency of plane curve singularities.Comment: Final versio
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