Arcs on rational double points in arbitrary characteristic
Algebraic Geometry
2025-08-19 v1
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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Cite
@article{arxiv.2508.12423,
title = {Arcs on rational double points in arbitrary characteristic},
author = {Tommaso de Fernex and Shih-Hsin Wang},
journal= {arXiv preprint arXiv:2508.12423},
year = {2025}
}
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17 pages