According to a fundamental theorem due to D. Orlov, any equivalence between derived categories of coherent sheaves of two smooth projective varieties is an integral functor. This “representability” result — which lies at the heart of the current chapter — opens the way to the investigation of the geometric consequences of the equivalence between the derived categories of two varieties.
KeywordsExact Sequence Line Bundle Spectral Sequence Integral Functor Coherent Sheave
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