Manin's conjecture for quartic del Pezzo surfaces with a conic fibration

DOI10.1215/00127094-1443466zbMath1245.11044arXiv0808.1616OpenAlexW2950257077WikidataQ123142978 ScholiaQ123142978MaRDI QIDQ649738

Régis de la Bretèche, Timothy D. Browning

Publication date: 6 December 2011

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

Full work available at URL: https://arxiv.org/abs/0808.1616

zbMATH Keywords

Manin's conjecturerational pointslattice pointsPicard groupdel Pezzo surfacesbinary formsdivisor problemsPeyre's constant

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Rational points (14G05) Counting solutions of Diophantine equations (11D45) Varieties over global fields (11G35) Lattice points in specified regions (11P21) Global ground fields in algebraic geometry (14G25)

Related Items (9)

Counting imaginary quadratic points via universal torsors ⋮ Rational points of bounded height and the Weil restriction ⋮ Counting rational points on quartic del Pezzo surfaces with a rational conic ⋮ A Zariski dense exceptional set in Manin's conjecture: dimension 2 ⋮ The Manin–Peyre conjecture for smooth spherical Fano varieties of semisimple rank one ⋮ The split torsor method for Manin’s conjecture ⋮ Approximation diophantienne et distribution locale sur une surface torique ⋮ Revisiting the Manin-Peyre conjecture for the split del Pezzo surface of degree 5 ⋮ On the factor alpha in Peyre’s constant

Cites Work

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