Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration

R. De la Bretèche; T. D. Browning

doi:10.1215/00127094-1443466

Abstract

An asymptotic formula is established for the number of $\mathbb{Q}$ -rational points of bounded height on a nonsingular quartic Del Pezzo surface with a conic bundle structure.

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R. De la Bretèche. T. D. Browning. "Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration." Duke Math. J. 160 (1) 1 - 69, 1 October 2011. https://doi.org/10.1215/00127094-1443466

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Published: 1 October 2011

First available in Project Euclid: 27 September 2011

zbMATH: 1245.11044

MathSciNet: MR2838351

Digital Object Identifier: 10.1215/00127094-1443466

Subjects:

Primary: 11D45

Secondary: 14G25

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