Obstructions to the Hasse principle in families

Abstract

For a family of varieties over a number field, we give conditions under which 100% of members have no Brauer-Manin obstruction to the Hasse principle.

Improvements following referees' comments

References in corpus (1)

• On the Brauer group of diagonal cubic surfaces

Cited by in corpus (6)

• Integral Hasse principle and strong approximation for Markoff surfaces
• Many cubic surfaces contain rational points
• Obstructions to integral points on affine Châtelet surfaces
• Rational points on del Pezzo surfaces of degree four
• Rational points in families of varieties
• Integral points on twisted Markoff surfaces