Varieties with too many rational points

DOI10.1007/s00209-016-1746-2zbMath1457.11094arXiv1311.5755OpenAlexW2963036618MaRDI QIDQ522043

Timothy D. Browning, Daniel Loughran

Publication date: 12 April 2017

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.5755

zbMATH Keywords

Fano varietiesnumber of rational points of bounded height

Mathematics Subject Classification ID

Rational points (14G05) Counting solutions of Diophantine equations (11D45) Varieties over global fields (11G35) Fano varieties (14J45)

Related Items

Distribution of rational points of bounded height on equivariant compactifications of \(\mathrm{PGL}_2\). I, Geometric consistency of Manin's conjecture, A Zariski dense exceptional set in Manin's conjecture: dimension 2, Geometric Manin’s conjecture and rational curves, Sieving rational points on varieties, Forms in many variables and differing degrees, Beyond heights: slopes and distribution of rational points, Obstructions to the Hasse principle in families, Manin's conjecture and the Fujita invariant of finite covers, On exceptional sets in Manin's conjecture, Manin's \(b\)-constant in families

Uses Software

• Magma

Cites Work

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