Section 5.1: Lines on surfaces
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Software
Bertini
Directions
Rulings of a quadric
Fiber products
- 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
Rank-deficiency approach
- We compute the rank-deficiency locus using input:
$ mpirun bertini input
Lines on a cubic
Fiber products
- We compute the irreducible decomposition of the fiber products using input:
$ mpirun bertini input
Rank-deficiency approach
- We compute the rank-deficiency locus using input:
$ mpirun bertini input
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