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math.AG2026
The finite-degree profile of essential dimension II: cyclic -groups in characteristic
Abhishek Shukla
Let be algebraically closed of characteristic . Reichstein and Vistoli showed that every -torsor becomes at most one-dimensional over a field extension of degree pri…
math.AG2026
The finite-degree profile of essential dimension I: general theory and characteristic prime to
Abhishek Shukla
Essential dimension counts the parameters needed to define a torsor, but it can drop sharply over a field extension, and it does not say how large an extension is needed. For a …