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Pencil of irreducible rational curves and Plane Jacobian conjecture by Van Chau, Nguyen is a scholarly article available to read on EtoBox.

What is Pencil of irreducible rational curves and Plane Jacobian conjecture about?

We are concerned with the behavior of the polynomial maps $F=(P,Q)$ of $\mathbb{C}^2$ with finite fibres and satisfying the condition that all of the curves $aP+bQ=0$, $(a:b)\in \mathbb{P}^1$, are irreducible rational curves. The obtained result shows that such polynomial maps $F$ is invertible if $(0,0)$ is a regular value of $F$ or if the Jacobian condition holds.

Author

Van Chau, Nguyen

Published

2009

Language

EN