A derived equivalence for a degree 6 del Pezzo surface over an arbitrary field

Publisher： Cambridge University Press

E-ISSN： 1865-5394|8|3|481-492

ISSN： 1865-2433

Source： Journal of K-Theory, Vol.8, Iss.3, 2011-12, pp. : 481-492

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Abstract

Let S be a degree six del Pezzo surface over an arbitrary field F. Motivated by the first author's classification of all such S up to isomorphism [3] in terms of a separable F-algebra B×Q×F, and by his K-theory isomorphism Kn(S) ≅ Kn(B×Q×F) for n ≥ 0, we prove an equivalence of derived categories

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