Christian Liedtke

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math.AG2025

An arithmetic analog of Klein's classification of finite subgroups of $SL_{2} (C)$

Christian Liedtke, Matthew Satriano

Let $K$ be a number field with ring of integers $O_{K}$ . We describe and classify finite, flat, and linearly reductive subgroup schemes of $SL_{2}$ over $\mathrm{Spe…

math.AG2025

On rational double points over nonclosed fields

Christian Liedtke, Matthew Satriano

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 linea…

An arithmetic analog of Klein's classification of finite subgroups of SL2​(C)

On rational double points over nonclosed fields

An arithmetic analog of Klein's classification of finite subgroups of $SL_{2} (C)$