2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/160121We give a characterization of all del Pezzo surfaces of degree 6 over an arbitrary field $F$. A surface is determined by a pair of separable algebras. These algebras are used to compute the Quillen $K$-theory of the surface. As a consequence, we obtain an index reduction formula for the function field of the surface.24 pagesAlgebraic GeometryK-Theory and Homology14M25 (Primary); 19D10 (Secondary)text