Weak approximation for del Pezzo surfaces of low degree

Published 22 Nov 2021 in math.AG and math.NT | (2111.11409v3)

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.

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