On rational double points over nonclosed fields

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Hauptverfasser: Liedtke, Christian, Satriano, Matthew
Format: Preprint
Veröffentlicht: 2025
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author Liedtke, Christian
Satriano, Matthew
author_facet Liedtke, Christian
Satriano, Matthew
contents We compute the equations of all rational double point singularities and we determine their types over perfect ground fields $k$ that arise as quotient singularities by finite linearly reductive subgroup schemes of $\textrm{SL}_{2,k}$.
format Preprint
id arxiv_https___arxiv_org_abs_2503_19787
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On rational double points over nonclosed fields
Liedtke, Christian
Satriano, Matthew
Algebraic Geometry
14J17, 14L15, 14G17, 13A50
We compute the equations of all rational double point singularities and we determine their types over perfect ground fields $k$ that arise as quotient singularities by finite linearly reductive subgroup schemes of $\textrm{SL}_{2,k}$.
title On rational double points over nonclosed fields
topic Algebraic Geometry
14J17, 14L15, 14G17, 13A50
url https://arxiv.org/abs/2503.19787