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Alternative Interpretation of the Plücker Quadric’s Ambient Space and Its Application
It is well-known that there exists a bijection between the set of lines of the projective 3-dimensional space $$P^3$$ and all real points of the so-called Plücker quadric $$\varPsi $$. Moreover one can identify each point of the Plücker quadric’s ambient space with a linear complex of lines in $$P^3$$. …