As he spoke, Qiao Yu picked up a piece of chalk and wrote an equation on the blackboard: "f(x,y,z)=z^2−x^3y^2+sin(xyz)".
After writing, Qiao Yu stepped back, silently calculating in his mind for a moment, and then continued saying, "I believe everyone can already see that there exists a local spine limit structure at a certain position near the point (0,0,0) for this equation."
"Yes, its conjugate relation is manifested in the singular points on the algebraic variety, denoted as P1 and P2, respectively possessing local spine singular point structures, and their local geometric properties influence each other through a nonlinear homological map.
Obviously, this means that the local module structure of singular point P1 will depend on the local properties of another distant singular point P2. Note that this conjugate relation cannot be inferred through simple local geometric observation..."
At this point, Qiao Yu's voice abruptly stopped...
