Incidences between points and lines on a two-dimensional variety
نویسندگان
چکیده
We present a direct and fairly simple proof of the following incidence bound: Let P be a set of m points and L a set of n lines in R, for d ≥ 3, which lie in a common algebraic two-dimensional surface of degree D that does not contain any 2-flat, so that no 2-flat contains more than s ≤ D lines of L. Then the number of incidences between P and L is
منابع مشابه
Incidences Between Points and Lines on Two- and Three-Dimensional Varieties
Let P be a set of m points and L a set of n lines in R, such that the points of P lieon an algebraic three-dimensional surface of degree D that does not contain hyperplaneor quadric components, and no 2-flat contains more than s lines of L. We show thatthe number of incidences between P and L is
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