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Preprint develops a family of surjective Keller maps in complex affine space, suggesting novel geometric properties.
For every integer d >= 5, this preprint develops an explicit (d-4)-dimensional family of pairwise polynomially inequivalent, surjective, noninjective Keller self-maps of complex affine three-space having generic degree d. The distinguishing invariant is an intrinsic ramification configuration in the normalization of the nonproperness surface. The paper also studies exact fiber reconstruction, collision geometry, generic cusp and node counts, cyclic lift strata, and a rigidity obstruction for one-slot determinant-neutral frames. The release includes the manuscript, portable exact SymPy verification scripts, reference execution logs, citation metadata, provenance information, licenses, and SHA-256 checksums. Version 0.1.0 is a public research preprint intended for expert mathematical review. It has not been peer reviewed.
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Trevor Rosato (2026) studied this question.
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