Galois self-covers of projective spaces and essential dimensions
classification
🧮 math.AG
keywords
essentialgaloismathbfself-coversattainsclassifycoverdimension
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We classify Galois self-covers $f: \mathbf{P}^n \to \mathbf{P}^n$ and show that the essential dimension of every such nontrivial cover attains its maximum possible value $n$.
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