Del Pezzo Surfaces of degree 6 over an arbitrary field

2008/05/01 by Mark Blunk, Blunk, Mark · 1 citation
Mathematics · #14M25 (Primary) #19D10 (Secondary) #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.0805.0119

openalex publication_date 2008/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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