Motivic splitting lemma.
Vishik, A., Zainoulline, K. (2008)
Documenta Mathematica
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Vishik, A., Zainoulline, K. (2008)
Documenta Mathematica
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Karpenko, Nikita, Merkurjev, Alexander (2002)
Documenta Mathematica
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Hiroshi Saito (1992)
Compositio Mathematica
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Ross, Joseph (2011)
Documenta Mathematica
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Shun-Ichi Kimura (1994)
Compositio Mathematica
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S. Bloch, J. P. Murre (1979)
Compositio Mathematica
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Vladimir Baranovsky, Jeremy Pecharich (2010)
Open Mathematics
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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...
Voevodsky, Vladimir (2010)
Documenta Mathematica
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Edoardo Ballico, Cristiano Bocci, Claudio Fontanari (2004)
Open Mathematics
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Here we study zero-dimensional subschemes of ruled varieties, mainly Hirzebruch surfaces and rational normal scrolls, by applying the Horace method and the Terracini method
Sebastián del Baño Rollin, Vicente Navarro Aznar (1998)
Collectanea Mathematica
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We show that the motive of the quotient of a scheme by a finite group coincides with the invariant submotive.