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

Brian Lehmann; Sho Tanimoto

doi:10.1215/00127094-2017-0011

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

Brian Lehmann, Sho Tanimoto

Department of Mathematical Sciences

9 Citations (Scopus)

77 Downloads (Pure)

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 using the minimal model program and boundedness of log Fano varieties.

Original language	English
Journal	Duke Mathematical Journal
Volume	166
Issue number	15
Pages (from-to)	2815-2869
ISSN	0012-7094
DOIs	https://doi.org/10.1215/00127094-2017-0011
Publication status	Published - 15 Oct 2017

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ON THE GEOMETRY OF THIN EXCEPTIONAL SETS IN MANIN’SSubmitted manuscript, 448 KB

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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 using the minimal model program and boundedness of log Fano varieties.",

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

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