The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
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DOI：
10.1090/s0273-0979-1982-15032-7
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发表时间：
1982-09
影响因子：
1.3
通讯作者：
H. Bass;E. Connell;D. Wright
中科院分区：
文献类型：
--
作者：
H. Bass;E. Connell;D. Wright
一.导言雅可比猜想1雅可比问题的陈述;第一次观察2。关于Jacobian Conjecture 3的问题4.稳定化与形式方法的使用2。简化定理1。记法2.减少定理3的陈述。降到三级4.简化定理5的证明。r-线性化和幂幺归约6.幂零秩1 Jacobians III.形式逆1.记法2. Abhyankar的反演公式3。Gj 4.树展开式G1 = lT（I/a（T））lfPTf 5.计算参考
Introduction I. The Jacobian Conjecture 1. Statement of the Jacobian Problem; first observations 2. Some history of the Jacobian Conjecture 3. Faulty proofs 4. The use of stabilization and of formal methods II. The Reduction Theorem 1. Notation 2. Statement of the Reduction Theorem 3. Reduction to degree 3 4. Proof of the Reduction Theorem 5. r-linearization and unipotent reduction 6. Nilpotent rank 1 Jacobians III. The Formal Inverse 1. Notation 2. Abhyankar's Inversion Formula 3. The terms Gj 4. The tree expansion G\ = lT(\/a(T))lfPTf 5. Calculations References