Revisiting the Manin-Peyre conjecture for the split del Pezzo surface of degree 5

MaRDI QIDQ2090584

Timothy D. Browning

Publication date: 25 October 2022

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://nyjm.albany.edu/j/2022/28-51.html

zbMATH Keywords

rational pointsdel Pezzo surfacelattice pointsheight functionconic bundledivisor sum problem

Mathematics Subject Classification ID

Rational points (14G05) Varieties over global fields (11G35) Fano varieties (14J45)

Cites Work

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• The divisor problem for binary cubic forms
• Manin's conjecture for quartic del Pezzo surfaces with a conic fibration
• Diophantine approximation with square-free numbers
• Quantitative arithmetic of projective varieties
• Rational points of bounded height on Fano varieties
• Number of points of bounded height on del Pezzo surfaces of degree 5
• Heights and Tamagawa measures on Fano varieties
• Sums of arithmetic functions over values of binary forms
• Counting rational points on hypersurfaces
• On the divisor-sum problem for binary cubic forms

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