%0 Journal Article %T Injectivity of Keller Mappings %A Yucai Su %J Mathematics %D 2013 %I arXiv %X 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. %U http://arxiv.org/abs/1310.4782v6