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Journal of Mathematical Sciences

, Volume 84, Issue 5, pp 1361–1381 | Cite as

Equivalences of derived categories and K3 surfaces

  • D. O. Orlov
Article

Abstract

We consider derived categories of coherent sheaves on smooth projective variaties. We prove that any equivalence between them can be represented by an object on the product. Using this, we give a necessary and sufficient condition for equivalence of derived categories of two K3 surfaces.

Keywords

Abelian Category Coherent Sheave Triangulate Category Smooth Projective Variety Canonical Morphism 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • D. O. Orlov

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