Computation-free presentation of the fundamental group of generic   $(p,q)$-torus curves
  In this note, we present a new method for computing fundamental groups of curve complements using a variation of the Zariski-Van Kampen method on general ruled surfaces. As an application we give an alternative (computation-free) proof for the fundamental group of generic $(p,q)$-torus curves. 
Enrique Artal Bartolo and Jose I. Cogolludo-Agustin and Jorge   Ortigas-Galindo
math.AG math.GT