English

Del Pezzo Surfaces of degree 6 over an arbitrary field

Algebraic Geometry 2008-05-02 v2 K-Theory and Homology

Abstract

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

Keywords

Cite

@article{arxiv.0805.0119,
  title  = {Del Pezzo Surfaces of degree 6 over an arbitrary field},
  author = {Mark Blunk},
  journal= {arXiv preprint arXiv:0805.0119},
  year   = {2008}
}

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24 pages