On exceptional sets in Manin’s conjecture

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作者
Brian Lehmann
Sho Tanimoto
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[1] Boston College,Department of Mathematics
[2] Kumamoto University,Department of Mathematics, Faculty of Science
[3] Kumamoto University,Priority Organization for Innovation and Excellence
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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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