How to use Rédei polynomials in higher dimensional spaces
نویسندگان
چکیده
In the affine plane AG(2, q) the point (x, y) is incident with the line Y = mX + α if and only if α = −mx + y. Hence α is a root of R(T,m) of multiplicity k if and only if the line Y = mX + α is incident with k points of the set A. This observation allows one to look at a problem of the following type: Given a subset of points of the affine plane that has restricted intersection properties with the lines of the plane, say something about the size of the subset or, clearly better, determine the possibilities for such a subset. ∗The author acknowledges the support of the Ministerio de Ciencia y Tecnologia, España. †The author acknowledges the financial support provided through the European Community’s Human Potential Programme under contract HPRN-CT-2002-00278, COMBSTRU.
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