429 citations · 3.4k across the 37 of their papers we have counts for
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Reconstruction of a variety from the derived category and groups of autoequivalences
A. Bondal, D. Orlov
We consider smooth algebraic varieties with ample either canonical or anticanonical sheaf. We prove that such a variety is uniquely determined by its derived category of coherent s…
Derived categories of coherent sheaves on abelian varieties and equivalences between them
Dmitri Orlov
We study derived categories of coherent sheaves on abelian varieties. We give a criterion for the equivalence of the derived categories on two abelian varieties. We describe the au…
Equivalences of derived categories and K3 surfaces
Dmitri Orlov
We consider derived categories of coherent sheaves on smooth projective varieties. We prove that any equivalence between them can be represented by an object on the product. Using…
Semiorthogonal decomposition for algebraic varieties
A. Bondal, D. Orlov
A criterion for a functor between derived categories of coherent sheaves to be full and faithful is given. A semiorthogonal decomposition for the derived category of coherent sheav…