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

M. Blunk, S. J. Sierra, S. Paul Smith

Research output: Contribution to journalArticlepeer-review

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 x Q x F, and by his K-theory isomorphism K-n(S) congruent to K-n(B x Q x F) for n >= 0, we prove an equivalence of derived categories

D-b(cohS) equivalent to D-b(modA)

where A is an explicitly given finite dimensional F-algebra whose semisimple part is B x Q x F.

Original languageEnglish
Pages (from-to)481-492
Number of pages12
JournalJournal of k-Theory
Volume8
Issue number3
DOIs
Publication statusPublished - Dec 2011

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