Abstract:The Jacobian Conjecture uses the equation det(Jac(F )) ∈ k * , which is a very short way to write down many equations putting restrictions on the coefficients of a polynomial map F . In characteristic p these equations do not suffice to (conjecturally) force a polynomial map to be invertible. In this article, we describe how to construct the conjecturally sufficient equations in characteristic p forcing a polynomial map to be invertible. This provides an (alternative to Adjamagbo's formulation) definition of t… Show more
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