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arXiv · 1501.06898

On the generalized Nash problem for smooth germs and adjacencies of curve singularities

Javier Fernandez de Bobadilla·Maria Pe Pereira·Patrick Popescu-Pampu
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Abstract

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.

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Javier Fernandez de Bobadilla, Maria Pe Pereira, Patrick Popescu-Pampu. 2017-10-05. On the generalized Nash problem for smooth germs and adjacencies of curve singularities. https://doi.org/10.1016/j.aim.2017.09.035

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