Injectivity of Keller Mappings
classification
🧮 math.AG
math.AC
keywords
jacobikellerconjecturedimensionalholdsinjectiveinjectivitymapping
read the original abstract
It is proved that for a Jacobi pair $(F,G)\in C[x,y]^2$, the Keller mapping: $(a,b)\mapsto(F(a,b),G(a,b))$ for $(a,b)\in C^2$, is injective. In particular, the $2$-dimensional Jacobi conjecture holds.
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