On exceptional sets in Manin's Conjecture

2018/07/20 by Lehmann, Brian, Tanimoto, Sho · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1807.07995

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.

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• Moduli space of genus one curves on cubic threefold

Related

• Geometric aspects of Manin's Conjecture
• Geometric consistency of Manin's Conjecture
• A Zariski dense exceptional set in Manin's conjecture: dimension 2
• An introduction to Geometric Manin's conjecture
• The Manin conjecture in dimension 2