A Derived Equivalence for a Degree 6 Del Pezzo Surface over an Arbitrary Field
نویسنده
چکیده
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 D (cohS) ≡ D(modA) where A is an explicitly given finite dimensional F -algebra whose semisimple part is B × Q × F .
منابع مشابه
Del Pezzo Surfaces of Degree 6 over an Arbitrary Field
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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