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

Institut for Matematiske Fag

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

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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.

Originalsprog	Engelsk
Tidsskrift	Duke Mathematical Journal
Vol/bind	166
Udgave nummer	15
Sider (fra-til)	2815-2869
ISSN	0012-7094
DOI	https://doi.org/10.1215/00127094-2017-0011
Status	Udgivet - 2017

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10.1215/00127094-2017-0011

ON THE GEOMETRY OF THIN EXCEPTIONAL SETS IN MANIN’SIndsendt manuskript, 448 KB

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Citationsformater

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abstract = "Manin{\textquoteright}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{\textquoteright}s Conjecture is a thin set. ",

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