Arcs on rational double points in arbitrary characteristic

Fuente: arXiv
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Main Authors: de Fernex, Tommaso, Wang, Shih-Hsin
Format: Preprint
Published: 2025
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author de Fernex, Tommaso
Wang, Shih-Hsin
author_facet de Fernex, Tommaso
Wang, Shih-Hsin
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2508_12423
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Arcs on rational double points in arbitrary characteristic
de Fernex, Tommaso
Wang, Shih-Hsin
Algebraic Geometry
Primary 14E18, Secondary 14J17
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.
title Arcs on rational double points in arbitrary characteristic
topic Algebraic Geometry
Primary 14E18, Secondary 14J17
url https://arxiv.org/abs/2508.12423