Revisiting the Manin-Peyre conjecture for the split del Pezzo surface of degree 5
type: Item
instance of: scholarly article
title: Revisiting the Manin-Peyre conjecture for the split del Pezzo surface of degree 5
published in: The New York Journal of Mathematics
publication date: 2022-10-25T00:00:00Z
full work available at URL: 28-51.html
Mathematics Subject Classification ID: 11G35
Mathematics Subject Classification ID: 14G05
Mathematics Subject Classification ID: 14J45
zbMATH DE Number: 7606898
zbMATH Keywords: del Pezzo surface
zbMATH Keywords: conic bundle
zbMATH Keywords: rational points
zbMATH Keywords: height function
zbMATH Keywords: divisor sum problem
zbMATH Keywords: lattice points
author: T. D. Browning
MaRDI profile type: Publication
cites work: Number of points of bounded height on del Pezzo surfaces of degree 5
cites work: Sums of arithmetic functions over values of binary forms
cites work: Manin's conjecture for quartic del Pezzo surfaces with a conic fibration
cites work: Quantitative arithmetic of projective varieties
cites work: The divisor problem for binary cubic forms
cites work: Counting rational points on hypersurfaces
cites work: Rational points of bounded height on Fano varieties
cites work: On the divisor-sum problem for binary cubic forms
cites work: Diophantine approximation with square-free numbers
cites work: Q4694962
cites work: Q5652790
cites work: Heights and Tamagawa measures on Fano varieties
Recommended article: UNIVERSAL TORSORS OVER DEL PEZZO SURFACES AND RATIONAL POINTS
Recommended article: Number of points of bounded height on del Pezzo surfaces of degree 5
Recommended article: Manin's conjecture on a nonsingular quartic del Pezzo surface
Recommended article: Counting Integral Points on Universal Torsors
Recommended article: Manin's conjecture for quartic del Pezzo surfaces with a conic fibration
Recommended article: On a constant arising in Manin's conjecture for del Pezzo surfaces
Recommended article: On Manin's conjecture for singular del Pezzo surfaces of degree 4. I
Recommended article: Manin's conjecture for two quartic del Pezzo surfaces with 3 \mathbfA1and \mathbfA1+ \mathbfA2singularity types
Recommended article: Quadratic congruences on average and rational points on cubic surfaces
Recommended article: RESENT PROGRESS ON THE QUANTITATIVE ARITHMETIC OF DEL PEZZO SURFACES
description: scientific article; zbMATH DE number 7606898