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arXiv · 2508.12423

Arcs on rational double points in arbitrary characteristic

Tommaso de Fernex·Shih-Hsin Wang
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Abstract

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.

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Tommaso de Fernex, Shih-Hsin Wang. 2025-08-17. Arcs on rational double points in arbitrary characteristic. https://arxiv.org/abs/2508.12423

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