A note on the plane Jacobian conjecture

Details A note on the plane Jacobian conjecture A note on the plane Jacobian conjecture

2010-05-21

arxiv.org/abs/1005.3866v2

Mathematics

Algebraic Geometry

6 pages, some additional terms

Scientific paper

It is shown that every polynomial function $P : \mathbb{C}^2\longrightarrow
\mathbb{C}$ with irreducible fibres of same a genus is a coordinate. In
consequence, there does not exist counterexamples F = (P,Q) to the Jacobian
conjecture such that all fibres of P are irreducible curves of same a genus.

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