Oakley Edens

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20232026

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math.AG2024

Hilbert's 13th problem in prime characteristic

Oakley Edens, Zinovy Reichstein

The resolvent degree $rd_{C} (n)$ is the smallest integer $d$ such that a root of the general polynomial $f (x) = x^{n} + a_{1} x^{n - 1} + \dots + a_{n}$ can be express…

math.AG2023

Essential dimension of symmetric groups in prime characteristic

Oakley Edens, Zinovy Reichstein

The essential dimension $ed_{k} (S_{n})$ of the symmetric group $S_{n}$ is the minimal integer $d$ such that the general polynomial $x^n + a_1 x^{n-1} + \ldots…