A note on the plane Jacobian conjecture

Volume 105 / 2012

Nguyen Van Chau Annales Polonici Mathematici 105 (2012), 13-19 MSC: Primary 14R15, 14R10; Secondary 14R25, 14D06. DOI: 10.4064/ap105-1-2


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


  • Nguyen Van ChauInstitute of Mathematics
    Vietnam Academy of Science and Technology
    18 Hoang Quoc Viet
    10307 Hanoi,Vietnam

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image