Abstract
Let P be a Jacobian polynomial such as deg P = <TEX>$deg_y$</TEX> P. Suppose the Jacobian polynomial P satisfies the intersection condition satisfying <TEX>$dim_C$</TEX> C[x, y]/<P, <TEX>$P_y$</TEX>> = deg P - 1, we can prove that the Keller map which has P as one of coordinate polynomial always has its inverse.
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