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arXiv · 2503.19787

On rational double points over nonclosed fields

Christian Liedtke·Matthew Satriano
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Abstract

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 $\textrm{SL}_{2,k}$.

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Christian Liedtke, Matthew Satriano. 2025-03-25. On rational double points over nonclosed fields. https://arxiv.org/abs/2503.19787

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