4 citations · 4 across the 1 of their papers we have counts for
3 papers
math.NT2019
Rational points on conic bundles over elliptic curves
Jennifer Berg, Masahiro Nakahara
We study rational points on conic bundles over elliptic curves with positive rank over a number field. We show that the etale Brauer-Manin obstruction is insufficient to explain fa…
math.AG2018
Odd order obstructions to the Hasse principle on general K3 surfaces
Jennifer Berg, Anthony Várilly-Alvarado
We show that odd order transcendental elements of the Brauer group of a K3 surface can obstruct the Hasse principle. We exhibit a general K3 surface of degree 2 over $\mathbb{Q…
math.NT2017★ 4 cited
Obstructions to integral points on affine Châtelet surfaces
Jennifer Berg
We consider the Brauer-Manin obstruction to the existence of integral points on affine surfaces defined by over a number field. We enumerate the possibilities f…