Symbolic algebra check suggests a possible Jacobian conjecture counterexample in C^3
sloppenheimer · x · 2026-07-23
- The post shares a symbolic-algebra check of a polynomial map on \(\mathbb C^3\) with Jacobian determinant \(-2\).
- The author says the map sends several specific points to the stated outputs and, if the calculation holds, would be an explicit counterexample to the Jacobian conjecture over \(\mathbb C^3\).
- They note the main question is whether there is a hidden qualification or an already-known source for this exact map, and say they independently verified it with exact symbolic algebra.
More from Research
- RSNA 2026 Deep Learning Labs return: eight hands-on AI classes over four days in Chicago — PRouzrokh · 2026-10-27
- Paper: data schedules and learning rate schedules should be designed together — alifcoder · 2026-10-27
- Health benchmark study: quality and diversity of eval items beat quantity — keunwoochoi · 2026-10-27
- Across 7 tasks, highest reasoning setting isn't the best for most open models — keunwoochoi · 2026-10-27
- Encrypted GPT-2 speedrun challenges FHE inference: best is 3.031 s/token, goal sub-1s — tensorqt · 2026-10-27
- Open Models Match GPT-6 on MedMCQA but Trail 17 Points on Hard Clinical Cases — keunwoochoi · 2026-10-27