Derived Categories of Surfaces
Derived Categories of Surfaces
This chapter completes the classification of algebraic surfaces from the point of view of their derived categories. Abelian, K3, and elliptic surfaces play a special role. For all other surfaces, the derived category determines the isomorphism type. The reduction to minimal surfaces is due to Kawamata, and the case of elliptic surfaces was dealt with by Bridgeland and Maciocia.
Keywords: abelian surfaces, K3 surfaces, elliptic surfaces, minimal surfaces, Enriques classification
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