Counting rational points on del Pezzo surfaces with a conic bundle structure
Tim Browning ; Michael Swarbrick Jones
Acta Arithmetica, Tome 166 (2014), p. 271-298 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:279746 
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     author = {Tim Browning and Michael Swarbrick Jones},
     title = {Counting rational points on del Pezzo surfaces with a conic bundle structure},
     journal = {Acta Arithmetica},
     volume = {166},
     year = {2014},
     pages = {271-298},
     zbl = {1318.14021},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa163-3-6}
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Tim Browning; Michael Swarbrick Jones. Counting rational points on del Pezzo surfaces with a conic bundle structure. Acta Arithmetica, Tome 166 (2014) pp. 271-298. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa163-3-6/