On exceptional sets in Manin's Conjecture
Algebraic Geometry
2018-12-17 v2 Number Theory
Abstract
In this survey paper we study Manin's Conjecture from a geometric perspective. The focus of the paper is the recent conjectural description of the exceptional set in Manin's Conjecture due to Lehmann-Sengupta-Tanimoto. After giving an extensive background, we give a precise description of this set and compute it in many examples.
Keywords
Cite
@article{arxiv.1807.07995,
title = {On exceptional sets in Manin's Conjecture},
author = {Brian Lehmann and Sho Tanimoto},
journal= {arXiv preprint arXiv:1807.07995},
year = {2018}
}
Comments
An incorrect statement of Proposition 3.17 was fixed. A minor issue in the construction of thin sets in Section 6.1 was addressed. To appear in Research in the Mathematical Sciences