Proof of Two Dimensional Jacobian Conjecture 1
نویسنده
چکیده
We give a full proof of the two dimensional Jacobian conjecture. We also give an algorithm to compute the inverse map of a polynomial map.
منابع مشابه
Proof of Two Dimensional Jacobian
We give a proof of the two dimensional Jacobian conjecture. We also prove that if (F, G) is a Jacobian pair with deg y F ≥ 1, then F is a monic polynomial of y up to a scalar.
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We give a proof of the two dimensional Jacobian conjecture. We also prove that if (F, G) is a Jacobian pair with deg y F ≥ 1, then F is a monic polynomial of y up to a scalar.
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We give a full proof of the two dimensional Jacobian conjecture.
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The paper is devoted to the proof of equivalence of Jacobian and Dixmier conjectures. We show that 2n-dimensional Jacobian conjecture implies Dixmier conjecture for Wn. The proof uses “antiquantization”: positive characteristics and Poisson brackets on the center of Weyl algebra in characteristic p. 2000 Math. Subj. Class. 16S32, 16S80, 14R15.
متن کاملProof of Two Dimensional Jacobian Conjecture
is a nonzero constant, where A = ( ∂ fi ∂ xj )i,j=1 is the n × n Jacobian matrix of f1, ..., fn. One of the major unsolved problems of mathematics [S] (see also [B, CM, V2]), viz. the Jacobian conjecture, states that the reverse of the above statement also holds, namely, if the Jacobian determinant J(f1, ..., fn) ∈ F , then f1(x1, ..., xn), ..., fn(x1, ..., xn) ∈ F[x1, ..., xn] are generators o...
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تاریخ انتشار 2005