Detailed Proof of Two Dimensional Jacobian Conjecture
نویسنده
چکیده
We give a full proof of the two dimensional Jacobian conjecture.
منابع مشابه
Proof of Two Dimensional Jacobian Conjecture 1
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.
متن کاملProof 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.
متن کاملProof of Two Dimensional
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.
متن کاملInfinite-dimensional Algebraic Varieties and Proof of the Jacobian Conjecture
In this paper we give a detailed proof of the Jacobian Conjecture (posed in 1939) which says that a polynomial map Cn → Cn is invertible if and only if its Jacobian is a non-zero constant. To prove it we equip both the set of all polynomial automorphisms of Cn and the set of all polynomial endomorphisms of Cn whose Jacobians are non-zero constants with structures of ind-varieties. Then using al...
متن کاملThe Jacobian Conjecture Is Stably Equivalent to the Dixmier Conjecture
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 کامل