Rational points on del Pezzo surfaces of degree four

Abstract

We study the distribution of the Brauer group and the frequency of the Brauer--Manin obstruction to the Hasse principle and weak approximation in a family of smooth del Pezzo surfaces of degree four over the rationals.

26 pages

References in corpus (4)

• Integral Hasse principle and strong approximation for Markoff surfaces
• Rational points of bounded height on general conic bundle surfaces
• Obstructions to the Hasse principle in families
• Genus one fibrations and vertical Brauer elements on del Pezzo surfaces of degree 4

Cited by in corpus (4)

• Genus one fibrations and vertical Brauer elements on del Pezzo surfaces of degree 4
• Local-global principles for semi-integral points on Markoff orbifold pairs
• Quartic del Pezzo surfaces with a Brauer group of order 4
• How to calculate the proportion of everywhere locally soluble diagonal hypersurfaces