Related papers: Resolution du probleme des arcs de Nash pour les p…
We prove that the Nash problem holds for two-dimensional rational double points in all characteristics. The proof is based on a direct computation of the families of arcs through these singularities.
This paper deals with the Nash problem, which consists in proving that the number of families of arcs on a singular germ of a surface $S$ coincides with the number of irreducible components of the exceptional divisor in the minimal…
The Nash problem on arcs for normal surface singularities states that there are as many arc families on a germ (S,O) of a singular surface as there are essential divisors over (S,O). It is known that this problem can be reduced to the study…
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This paper has been withdrawn by the author, due to necessity of revision.
This paper has been withdrawn by the author due to a crucial error in equation (51).
This paper has been withdrawn by the author, due to possible counter-examples.
The paper was withdrawn due to another possible solution to the dataset that is significantly different in nature. This issue will be addressed shortly and clarified with an additional data point.
This paper has been withdrawn by the author.
This paper has been withdrawn by the authors due to numerical problems to get viable results.
The Nash problem asks about the existence of a correspondence between families of arcs through singularities of complex varieties and certain types of divisorial valuations. It has been positively settled in dimension 2 by Fern\'andez de…
This paper has been withdrawn by the author, due to an error in the proof of lemma 7.4. However, numerical evidence strongly suggest that this lemma is true.
This paper has been withdrawn by the author due to a serious flaw that needs to be fixed. That is in progress by the author.
This paper has been withdrawn by the authors for adding some results.
This paper has been withdrawn by the author. The paper has been accepted for publication in Communications on Pure and Applied Mathematics.
This paper has been withdrawn.