mblunk@math.ucla.edu

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.

Full text: dvi.gz 53 k, dvi 129 k, ps.gz 835 k, pdf.gz 233 k, pdf 261 k.

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