Universal torsors over Del Pezzo surfaces and rational points
Ulrich Derenthal, Yuri Tschinkel
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)
Create a lesson
Related papers
Rational points on loxodromic K3 surfaces and complex dynamics
Damián Gvirtz-Chen, Zhizhong Huang, Zhuchao Ji et al.
Ramanujan-type congruences for the smallest parts function
Larry Rolen
Some instances of modularity for residually reducible representations in the mixed case
Luis V. Dieulefait
Classification of torsion of elliptic curves over sextic fields
Filip Najman
A generalization of the Dirichlet approximation theorem for affine actions on the real line
Mohammad Javaheri
On ill-distributed B3 and B4 sets
André Hisatsuga, Rafael Miyazaki, Cosmin Pohoata