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Intersections in projective space. I: Combinatorics. (English) Zbl 0579.51010
An elementary counting principle is given a wide variety of applications. In particular, it is shown that in finite space the dual of the intersection of two quadrics is not generally the same structure as the intersection of the two dual quadrics, contrary to the case of the complex numbers.

51E20 Combinatorial structures in finite projective spaces
05B25 Combinatorial aspects of finite geometries
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