A geometric approach to the Jacobian conjecture in dimension two

Masayoshi Miyanishi

doi:10.1016/j.jalgebra.2006.02.020

A geometric approach to the Jacobian conjecture in dimension two

Masayoshi Miyanishi

Open Access

https://doi.org/10.1016/j.jalgebra.2006.02.020

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Journal: Journal of Algebra	Publication Date: Mar 20, 2006
Citations: 3	License type: publisher-specific-oa

Affiliation: Kwansei Gakuin University

#Jacobian Conjecture #Conjecture In Dimension + Show 2 more

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Abstract

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.

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