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arXiv · 0805.0119

Del Pezzo Surfaces of degree 6 over an arbitrary field

Mark Blunk
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Abstract

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.

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Mark Blunk. 2008-05-02. Del Pezzo Surfaces of degree 6 over an arbitrary field. https://arxiv.org/abs/0805.0119

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