×

A question of the distribution of points on a curve over a finite field. (English) Zbl 1096.11501

Summary: Let \(C\) be an affine curve in the affine space \(A^r(\overline{\mathbb F}_p)\) that is not contained in any hyperplane. We show that there exists a probability that measures the set of points \(x\in C\) satisfying given size restrictions for the spacings between neighbour components.

MSC:

11G20 Curves over finite and local fields
11L05 Gauss and Kloosterman sums; generalizations
PDFBibTeX XMLCite
Full Text: EuDML