A Tate sequence for global units
Jürgen Ritter, Alfred Weiss (1996)
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Jürgen Ritter, Alfred Weiss (1996)
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Let X and Y be two smooth Deligne-Mumford stacks and consider a pair of functions f: X → , g:Y → . Assuming that there exists a complex of sheaves on X × Y which induces an equivalence of D b(X) and D b(Y), we show that there is also an equivalence of the singular derived categories of the fibers f −1(0) and g −1(0). We apply this statement in the setting of McKay correspondence, and generalize a theorem of Orlov on the derived category of a Calabi-Yau hypersurface in a weighted...
Tadao Oda (1969)
Annales scientifiques de l'École Normale Supérieure
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