Quadratic congruences on average and rational points on cubic surfaces

@article{StephanBaier2015,
abstract = {We investigate the average number of solutions of certain quadratic congruences. As an application, we establish Manin's conjecture for a cubic surface whose singularity type is A₅ + A₁.},
author = {Stephan Baier, Ulrich Derenthal},
journal = {Acta Arithmetica},
keywords = {quadratic congruences; rational points; manin's conjecture; cubic surfaces; universal torsors},
language = {eng},
number = {2},
pages = {145-171},
title = {Quadratic congruences on average and rational points on cubic surfaces},
url = {http://eudml.org/doc/279786},
volume = {171},
year = {2015},
}

TY - JOUR
AU - Stephan Baier
AU - Ulrich Derenthal
TI - Quadratic congruences on average and rational points on cubic surfaces
JO - Acta Arithmetica
PY - 2015
VL - 171
IS - 2
SP - 145
EP - 171
AB - We investigate the average number of solutions of certain quadratic congruences. As an application, we establish Manin's conjecture for a cubic surface whose singularity type is A₅ + A₁.
LA - eng
KW - quadratic congruences; rational points; manin's conjecture; cubic surfaces; universal torsors
UR - http://eudml.org/doc/279786
ER -