English

On the geometry of thin exceptional sets in Manin's Conjecture

Algebraic Geometry 2017-10-18 v2 Number Theory

Abstract

Manin's Conjecture predicts the rate of growth of rational points of a bounded height after removing those lying on an exceptional set. We study whether the exceptional set in Manin's Conjecture is a thin set.

Keywords

Cite

@article{arxiv.1607.03499,
  title  = {On the geometry of thin exceptional sets in Manin's Conjecture},
  author = {Brian Lehmann and Sho Tanimoto},
  journal= {arXiv preprint arXiv:1607.03499},
  year   = {2017}
}

Comments

minor changes, 40 pages, to appear in Duke Math. Journal