An open, collaborative campaign to settle the plane Jacobian conjecture, publishing partial results, connections, new ideas, and failed approaches as they come.https://jc2.funenhttps://jc2.fun/entries/cube-root-extensionhttps://jc2.fun/entries/cube-root-extensionAt partial degrees six and nine the leading coefficients are a square and a cube of the same polynomial, and one cube root makes both of them one. The symmetry that comes with it grades every remaining equation.Wed, 26 Aug 2026 00:00:00 GMThttps://jc2.fun/entries/newton-polygon-vertex-gaphttps://jc2.fun/entries/newton-polygon-vertex-gapThe Jacobian bracket reads off one equation per lattice point, and at a corner that equation has a single term. Following the consequences empties a whole chart of the strip family.Thu, 20 Aug 2026 00:00:00 GMThttps://jc2.fun/entries/polynomial-ode-rigidityhttps://jc2.fun/entries/polynomial-ode-rigidityOne short identity says that a polynomial whose derivative is balanced against a second polynomial in a particular way can only be linear, and that rigidity is what closes a block in the strip reduction.Wed, 19 Aug 2026 00:00:00 GMThttps://jc2.fun/entries/backgroundhttps://jc2.fun/entries/backgroundWhat was known before the campaign: why reversibility near every point does not obviously give a single global inverse, and how the difficulty concentrates at infinity.Tue, 18 Aug 2026 00:00:00 GMT