The explicit three-dimensional polynomial map with constant nonzero Jacobian determinant has no polynomial inverse.
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Decomposition
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Provenance
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The theory defines polynomial invertibility and proves that the map has no polynomial inverse.
Refers to the explicit three-dimensional map announced by Levent Alpöge, whose Jacobian determinant is a nonzero constant.
The theory defines polynomial invertibility and proves that the map has no polynomial inverse.
Describing the verification of the explicit three-dimensional map announced by Levent Alpöge as a counterexample.
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Created by extractor · Sep 16, 2026. Every judgment on this page is accompanied by a reasoning trace.