Atlas home || Conferences | Abstracts | about Atlas

Millennial Conference on Number Theory
May 21-26, 2000
University of Illinois
Urbana, IL, USA

Organizers
B.C. Berndt, N. Boston, H.G. Diamond, A.J. Hildebrand, W. Philipp

View Abstracts
Conference Homepage

Counting rational points on curves and surfaces
by
Roger Heath-Brown
Oxford University

We shall describe upper bounds for the number of rational points, with height below a prescribed bound, lying on an algebraic curve or surface. Our aim is to give bounds in which there is a negligible dependence on the particular curve or surface. The methods lead to improvements and extensions of many previous `paucity' results.

Date received: March 6, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadx-53.