Universal torsors over Del Pezzo surfaces and rational points
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
We discuss Manin's conjecture concerning the distribution of rational points of bounded height on Del Pezzo surfaces, and its refinement by Peyre, and explain applications of universal torsors to counting problems. To illustrate the method, we provide a proof of Manin's conjecture for the unique split singular quartic Del Pezzo surface with a singularity of type D4. (Lectures at the summer school "Equidistribution in number theory", Montreal, August 2005)
Keywords
Cite
@article{arxiv.math/0604193,
title = {Universal torsors over Del Pezzo surfaces and rational points},
author = {Ulrich Derenthal and Yuri Tschinkel},
journal= {arXiv preprint arXiv:math/0604193},
year = {2007}
}
Comments
33 pages, 2 figures