Weak approximation for del Pezzo surfaces of low degree

Abstract

We prove, via an "arithmetic surjectivity" approach inspired by work of Denef, that weak weak approximation holds for surfaces with two conic fibrations satisfying a general assumption. In particular, weak weak approximation holds for general del Pezzo surfaces of degrees $1$ or $2$ with a conic fibration.

arXiv comment21 pages; minor edits; to appear in International Mathematics Research Notices