2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/136425We show that if over some number field there exists a certain diagonal plane cubic curve that is locally solvable everywhere, but that does not have points over any cubic galois extension of the number field, then the algebraic part of the Brauer-Manin obstruction is not the only obstruction to the Hasse principle for K3 surfaces.17 pages, comments welcomeNumber TheoryAlgebraic Geometry11G05, 14J28, 14C22text