Section 5.1: Lines on surfaces

• First, we compute the irreducible decomposition of the fiber products using input then we project each component into the parameter space using input_projection and projection:
  
     $ mpirun bertini input
     $ bertini input_project
  
  

• We compute the rank-deficiency locus using input:
  
     $ mpirun bertini input
  

• We compute the irreducible decomposition of the fiber products using input:
  
     $ mpirun bertini input
  

• We compute the rank-deficiency locus using input:
  
     $ mpirun bertini input