Distribution of Rational Points: A Survey

distribution of rational points: a survey

Distribution of Rational Points: a Survey

In this survey we discuss Manin’s conjectures about the distribution of rational points on certain classes of algebraic varieties.

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Rational Points

is known to have only finitely many triples of positive integer solutions x, y, z for a given n > 2 (Faltings, 1983). In Chapter 11, special situations are described in which more precise information is accessible. For example, if x is in S, then n is bounded by a computable number C5 = Cb(pv ..., p8). From these examples, it should be clear that the book is a mine of information for workers in...

Uniformity of Rational Points

1. Uniformity and correlation 1 1.

Points at Rational Distance from the Vertices of a Unit Polygon