Quasi-polynomial mappings with constant Jacobian

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Аннотация

The famous Jacobian conjecture (JC) remains open even for dimension $2$. In this paper we study it by extending theclass of polynomial mappings to quasi-polynomial ones. We show that any possible non-invertible polynomialmapping with non-zero constant Jacobian can be transformed into a special reduced form by a sequence ofelementary transformations.

Авторлар туралы

Sergey Pinchuk

Indiana University

Әдебиет тізімі

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© Pinchuk S.I., 2021

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