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

Tim Browning; Michael Swarbrick Jones

doi:10.4064/aa163-3-6

Instytut Matematyczny Polskiej Akademii Nauk / pl / Wydawnictwa / Czasopisma IMPAN / Acta Arithmetica / Wszystkie zeszyty

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

Tom 163 / 2014

Tim Browning, Michael Swarbrick Jones Acta Arithmetica 163 (2014), 271-298 MSC: Primary 11G50; Secondary 11G35, 14G05. DOI: 10.4064/aa163-3-6

Streszczenie

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 $k$ .

Autorzy

Tim BrowningSchool of Mathematics
University of Bristol
Bristol, BS8 1TW, UK
e-mail
Michael Swarbrick JonesSchool of Mathematics
University of Bristol
Bristol, BS8 1TW, UK
e-mail

Pobierz zgodnie z CC-BY

Przeszukaj wydawnictwa IMPAN