affine-algebraic-geometry

Here are 3 public repositories matching this topic...

AEjonanonymous / Jacobian-Conjecture-2D

Formal Resolution of the Two-Dimensional Jacobian Conjecture in Lean 4 via Graded Differential Operators.

research mathematics algebraic-geometry formal-verification interactive-theorem-proving commutative-algebra formal-proofs mathlib differential-algebra lean4 differential-operators formalized-mathematics homogeneous-polynomials proof-by-contradiction jacobian-conjecture ai-augmented-research polynomial-automorphisms affine-algebraic-geometry

Updated Jul 28, 2026
Lean

brian-naughton / kr-cylinder-surgery

Star

The Koras-Russell cylinder as an affine modification of A^4 — a commuting square through a motivic 4-sphere, a one-point Borel-Moore defect, and a machine-certified verification layer anyone can re-run in one command

computer-algebra motivic-homotopy-theory certified-computation affine-algebraic-geometry koras-russell affine-modification locally-nilpotent-derivation zariski-cancellation borel-moore-homology

Updated Aug 1, 2026
Python

wstrinz / plane-jacobian-72-108

Star

An independent structural proof excluding the (72,108) case of the plane Jacobian Conjecture (GGHV, arXiv:2204.14178) — conditionally raising the counterexample degree bound from 108 to 125. Priority for the exclusion is B. Helali's (doi:10.5281/zenodo.21479814). Exact sympy checkers, spec-only auditors, Lean-certified core identity.

sympy computer-assisted-proof jacobian-conjecture polynomial-automorphisms affine-algebraic-geometry

Updated Jul 29, 2026
MAXScript

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