2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67818We give local conditions at the infinite places of a number field K ensuring that the intersection of n quadrics in projective N-space over K, N >> n, satisfies weak approximation.There are substantial changes, of which the most important is a new inductive strategy giving a much better (quadratic instead of super-exponential) boundNumber Theory11G35text