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

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.

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

References in corpus (1)

• On Fujita invariants of subvarieties of a uniruled variety

Cited by in corpus (7)

• Geometric Manin's Conjecture and rational curves
• Campana points of bounded height on vector group compactifications
• Manin's Conjecture and the Fujita invariant of finite covers
• On upper bounds of Manin type
• Manin's b-constant in families
• Motivic distribution of rational curves and twisted products of toric varieties
• The geometric exceptional set in Manin's conjecture for Batyrev and Tschinkel's example