A geometric approach to the Jacobian conjecture in dimension two

JOURNAL OF ALGEBRA

卷:304

Article

Miyanishi, Masayoshi

关键词: Jacobian conjecture;    Etale endomorphism;    fibration by curves;    one place at infinity;   

DOI  :  10.1016/j.jalgebra.2006.02.020

来源: Elsevier

【 摘 要 】

The Jacobian conjecture in dimension two holds true if a conjecture, which we call below the generalized Sard property (GSP), holds true for the affine plane and an A(1)-fibration on A(2). The observations will be made for affine pseudo-planes with the Jacobian conjecture enlarged to the generalized Jacobian conjecture. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

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