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Displaying similar documents to “A short proof of Rost nilpotence via refined correspondences.”

On equivalences of derived and singular categories

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 → 𝔸 1 , g:Y → 𝔸 1 . Assuming that there exists a complex of sheaves on X × 𝔸 1 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...

Zero-dimensional subschemes of ruled varieties

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

On the motive of a quotient variety.

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.