Affirms incompressibility of Galois polarized endomorphisms on birationally ruled surfaces above an explicit degree bound depending only on X, with examples showing the bound is optimal.
Galois self-covers of projective spaces and essential dimensions
1 Pith paper cite this work. Polarity classification is still indexing.
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abstract
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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math.AG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Essential dimensions of polarized endomorphisms of certain algebraic surfaces
Affirms incompressibility of Galois polarized endomorphisms on birationally ruled surfaces above an explicit degree bound depending only on X, with examples showing the bound is optimal.