Injectivity of Keller Mappings

Abstract

It is proved that for a Jacobi pair $(F,G)\in C[x,y{]}^2$, the Keller mapping: $(a,b)\mapsto (F(a,b),G(a,b))$ for $(a,b)\in C^2$, is injective. In particular, the $2$-dimensional Jacobi conjecture holds.

arXiv commentPlease refer to arXiv:1603.01867

References in corpus (1)

• Poisson algebras, Weyl algebras and Jacobi pairs