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

DOI10.1215/00127094-2017-0011zbMath1451.14072arXiv1607.03499OpenAlexW3106372425WikidataQ123271023 ScholiaQ123271023MaRDI QIDQ1681612

Brian Lehmann, Sho Tanimoto

Publication date: 24 November 2017

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.03499

zbMATH Keywords

Manin's conjecturerational pointsFano varietiesminimal model program

Mathematics Subject Classification ID

Rational points (14G05) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (17)

Rational curves on del Pezzo surfaces in positive characteristic ⋮ Diagonal quartic surfaces with a Brauer–Manin obstruction ⋮ Moduli spaces of rational curves on Fano threefolds ⋮ Geometric consistency of Manin's conjecture ⋮ On upper bounds of Manin type ⋮ A Zariski dense exceptional set in Manin's conjecture: dimension 2 ⋮ An introduction to rationally connected fibrations over curves and surfaces ⋮ Classifying sections of del Pezzo fibrations. I ⋮ Geometric Manin’s conjecture and rational curves ⋮ Sieving rational points on varieties ⋮ Approximation diophantienne et distribution locale sur une surface torique II ⋮ Manin's conjecture and the Fujita invariant of finite covers ⋮ On exceptional sets in Manin's conjecture ⋮ Manin's \(b\)-constant in families ⋮ Rational curves on prime Fano threefolds of index 1 ⋮ Classifying sections of del Pezzo fibrations. II ⋮ The spaces of rational curves on del Pezzo threefolds of degree one

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