New Proofs for the Abhyankar-gujar Inversion Formula and the Equivalence of the Jacobian Conjecture and the Vanishing Conjecture
نویسنده
چکیده
We first give a new proof and also a new formulation for the Abhyankar-Gujar inversion formula for formal maps of affine spaces. We then use the reformulated Abhyankar-Gujar formula to give a more straightforward proof for the equivalence of the Jacobian conjecture with a special case of the vanishing conjecture of (homogeneous) quadratic differential operators with constant coefficients.
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تاریخ انتشار 2009