Abstract
Given a rational fibered surface $f:X \to \mathbb{P}^1$ of genus $g$ we prove the inequality $\frac{6n+5}{n+1}-\frac{9n+12}{2g}\le \lambda_f,$ provided that the genus $g$ is sufficiently high with respect to the gonality $2n+3$ of the general fibre.
Citation
Margarita Castañeda-Salazar. Alexis G. Zamora. "On the slope of rational fibered surfaces." Osaka J. Math. 57 (2) 493 - 504, April 2020.
