Counting rational points on del Pezzo surfaces with a conic bundle structure

@article{TimBrowning2014,
abstract = {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.},
author = {Tim Browning, Michael Swarbrick Jones},
journal = {Acta Arithmetica},
keywords = {rational points; del Pezzo surface; conic bundle surface; Batyrev-Manin conjecture; Thue-Siegel-Roth theorem; anticanonical height},
language = {eng},
number = {3},
pages = {271-298},
title = {Counting rational points on del Pezzo surfaces with a conic bundle structure},
url = {http://eudml.org/doc/279746},
volume = {163},
year = {2014},
}

TY - JOUR
AU - Tim Browning
AU - Michael Swarbrick Jones
TI - Counting rational points on del Pezzo surfaces with a conic bundle structure
JO - Acta Arithmetica
PY - 2014
VL - 163
IS - 3
SP - 271
EP - 298
AB - 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.
LA - eng
KW - rational points; del Pezzo surface; conic bundle surface; Batyrev-Manin conjecture; Thue-Siegel-Roth theorem; anticanonical height
UR - http://eudml.org/doc/279746
ER -