{"paper":{"title":"A Derived Equivalence For A Del Pezzo Surface Of Degree 6 Over An Arbitrary Field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.AG","authors_text":"Mark Blunk, S. J. Sierra, S. Paul Smith","submitted_at":"2009-08-23T02:41:28Z","abstract_excerpt":"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 in terms of a separable $F$-algebra $B \\times Q \\times F$, and by his K-theory isomorphism $K_n(S) \\cong K_n(B \\times Q \\times F)$ for $n \\ge 0$, we prove an equivalence of derived categories $$ \\sD^b(\\coh S) \\equiv \\sD^b(\\mod A) $$ where $A$ is an explicitly given finite dimensional $F$-algebra whose semisimple part is $B \\times Q \\times F$.\n  Submitted to the Journal of K-theory"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.3281","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}