{"id":"palomar/PALOMAR-2026-08-21-000006","url":"https://github.com/Paul-Lez/jacobian-conjecture/tree/b244ea482ed086297e379d73e6724cd26b2d301f","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-08-21-000006-v1.json","repo":"https://github.com/Paul-Lez/jacobian-conjecture","tags":["math.AG","math.AC","msc:14R15","algebraic-geometry","jacobian-conjecture","lean-formalization","polynomial-maps"],"score":0,"title":"Paul-Lez/jacobian-conjecture","trust":"high","domain":"math.AG","source":"palomar","authors":["Paul Lezeau","Dean Cureton"],"reviews":0,"subject":"math.AG","summary":"A self-contained version of the formal-conjectures formalization by Paul Lezeau and Dean Cureton. It disproves the generalized Jacobian conjecture over every nontrivial commutative ring using an explicit determinant-one polynomial self-map in three variables. The formal-conjectures formalisation remains the reference statement.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"verified":true,"discussed":0,"published":"2026-08-21","reactions":{},"formalized":true,"formalizes":[{"title":"Hello there the Jacobian conjecture is false","identifier":"https://x.com/__alpoge__/status/2079028340955197566","relationship":"adapts"}]}