Submission: 2008, May 5
We 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.
2000 Mathematics Subject Classification: 14M25 Primary 14L30, 19D10 Secondary
Keywords and Phrases: Toric Varieties, Torsors, Separable Algebras, K-theory.
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