Crepant resolutions of quotients by finite linearly reductive group schemes in any characteristic have Euler number equal to the number of irreducible representations of the group.
On rational double points over nonclosed fields
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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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McKay correspondence for linearly reductive finite group schemes in positive characteristic
Crepant resolutions of quotients by finite linearly reductive group schemes in any characteristic have Euler number equal to the number of irreducible representations of the group.