A note on the plane Jacobian conjecture
Algebraic Geometry
2017-09-13 v2 Commutative Algebra
Abstract
It is shown that every polynomial function 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.
Cite
@article{arxiv.1005.3866,
title = {A note on the plane Jacobian conjecture},
author = {Nguyen Van Chau},
journal= {arXiv preprint arXiv:1005.3866},
year = {2017}
}
Comments
6 pages, some additional terms