2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119304We study the cohomological properties of quasi-canonical lifts of an ordinary K3 surface over a finite field. As applications, we prove a Torelli type theorem for ordinary K3 surfaces over finite fields and establish the Hodge conjecture for arbitrary self products of certain K3 surfaces over the complex numbers.18 pagesAlgebraic Geometry14J28 (Primary) 14C25 (Secondary)Special lifts of ordinary K3 surfaces and applicationstext