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The P¹×P^{d−1} construction yields an affine-space source only in the case d equals three.

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the answer is no for every d ≥ 4 — d = 3 is the only case where the complement can be A^d, in any characteristic.

https://sbseminar.wordpress.com/2026/07/20/the-new-counterexample-to-the-jacobian-conjecture/extraction 0.85

Comment by Skooi responding to Speyer's proposed generalization of the construction to a map P¹×P^{d−1} → P^d; supported by a class-group excision argument, later independently echoed by Shubhodip Mondal.

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Created by extractor · Aug 11, 2026. Every judgment on this page is accompanied by a reasoning trace.