A note on the plane Jacobian conjecture

• Autorzy: Nguyen Van Chau
• Języki publikacji: EN

Abstrakty

EN

It is shown that every polynomial function P:ℂ² → 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.

Kategorie tematyczne

• 14R25: Affine fibrations
• 14R10: Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem)
• 14R15: Jacobian problem
• 14D06: Fibrations, degenerations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 105
• Numer: 1
• Strony: 13-19

Daty

wydano

2012

Twórcy

autor

Nguyen Van Chau

• Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, 10307 Hanoi,Vietnam

Identyfikatory

DOI

10.4064/ap105-1-2