Geodesic
Counting rational points on del Pezzo surfaces with a conic bundle structure
Tim Browning 1   ; Michael Swarbrick Jones 1
1 School of Mathematics University of Bristol Bristol, BS8 1TW, UK
Acta Arithmetica, Tome 163 (2014) no. 3, pp. 271-298 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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For any number field $k$, upper bounds are established for the number of $k$-rational points of bounded height on non-singular del Pezzo surfaces defined over $k$, which are equipped with suitable conic bundle structures over $k$.
DOI : 10.4064/aa163-3-6
Keywords: number field upper bounds established number k rational points bounded height non singular del pezzo surfaces defined which equipped suitable conic bundle structures

Tim Browning  1   ; Michael Swarbrick Jones  1

1 School of Mathematics University of Bristol Bristol, BS8 1TW, UK 
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     title = {Counting rational points on del {Pezzo} surfaces
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 with a conic bundle structure
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Tim Browning; Michael Swarbrick Jones. Counting rational points on del Pezzo surfaces
 with a conic bundle structure. Acta Arithmetica, Tome 163 (2014) no. 3, pp. 271-298. doi: 10.4064/aa163-3-6

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