The split torsor method for Manin's conjecture
Number Theory
2020-05-06 v2 Algebraic Geometry
Abstract
We introduce the split torsor method to count rational points of bounded height on Fano varieties. As an application, we prove Manin's conjecture for all nonsplit quartic del Pezzo surfaces of type over arbitrary number fields. The counting problem on the split torsor is solved in the framework of o-minimal structures.
Keywords
Cite
@article{arxiv.1907.09431,
title = {The split torsor method for Manin's conjecture},
author = {Ulrich Derenthal and Marta Pieropan},
journal= {arXiv preprint arXiv:1907.09431},
year = {2020}
}
Comments
36 pages; minor revision