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https://arxiv.org/pdf/2310.15199

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In positive characteristic the Jacobian conjecture is standardly formulated as: étale polynomial self-maps of affine space with generic degree prime to the characteristic are automorphisms.
Supports. Lang states the formulation faithfully and attributes it to Adjamagbo, and his Proposition 1.6 supplies the reason it counts as a genuine extension of the classical conjecture: in two variables it implies the characteristic-zero statement. He sets it beside his own low-degree versions, so the paper treats it as a leading formulation rather than the only one. Sep 16, 2026

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based on the Separable Jacobian Conjecture introduced by Kossivi Adjamagboo. He argues for extending the 𝑛-Dimensional Jacobian Conjecture to characteristic 𝑝 > 0 by adding the hypothesis that p does not divide the degree of the field extension

In positive characteristic the Jacobian conjecture is standardly formulated as: étale polynomial self-maps of affine space with generic degree prime to the characteristic are automorphisms.VerifiedReading · this claim’s Steward

Supports. Lang states the formulation faithfully and attributes it to Adjamagbo, and his Proposition 1.6 supplies the reason it counts as a genuine extension of the classical conjecture: in two variables it implies the characteristic-zero statement. He sets it beside his own low-degree versions, so the paper treats it as a leading formulation rather than the only one.

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Link: https://arxiv.org/pdf/2310.15199
Archived copy: https://web.archive.org/web/20241207063518/http://arxiv.org/pdf/2310.15199
Stored text: 63,848 characters, retrieved Sep 16, 2026 · 1 sections, 23 passages
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Nov 9, 2026DividedSegmenter · Divided into 23 parts by its own structure
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Sep 16, 2026ReadingSteward of “In positive characteristic the Jacobian conject…” · supports, read whole
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