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math.AG2012★ 2 cited
On the Rational Real Jacobian Conjecture
L. Andrew Campbell
Jacobian conjectures (that nonsingular implies a global inverse) for rational everywhere defined maps of real n-space to itself are considered, with no requirement for a constant J…
math.AG2012
Pinchuk Maps and Function Fields
L. Andrew Campbell
All counterexamples of Pinchuk type to the strong real Jacobian conjecture are shown to have rational function field extensions of degree six with no nontrivial automorphisms.
math.AG2012
Pinchuk maps, function fields, and real Jacobian conjectures
L. Andrew Campbell
Jacobian conjectures (that nonsingular implies invertible) for rational everywhere defined maps of real n-space to itself are considered, with no requirement for a constant Jacobia…