Del Pezzo Surfaces of degree 6 over an arbitrary field
arXiv:0805.0119
Abstract
We give a characterization of all del Pezzo surfaces of degree 6 over an arbitrary field . A surface is determined by a pair of separable algebras. These algebras are used to compute the Quillen -theory of the surface. As a consequence, we obtain an index reduction formula for the function field of the surface.
24 pages