Abstract
We study del Pezzo surfaces of degree 1 of the form w 2 = z 3 + A x 6 + B y 6 in the weighted projective space P k ( 1 , 1 , 2 , 3 ) , where k is a perfect field of characteristic not 2 or 3 and A , B ∈ k ∗ . Over a number field, we exhibit an infinite family of (minimal) counterexamples to weak approximation amongst these surfaces, via a Brauer–Manin obstruction.
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