Bound for the number of one-dimensional fibers of a projective morphism

Quang Hoa Tran

Given a birational parameterization $\varphi :{\mathbb{P}}_k^2-rightarrow{\mathbb{P}}_k^3$ of an algebraic surface $\mathcal{S}\subset {\mathbb{P}}_k^3$, we bound the number of 1-dimensional…