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arXiv · 1208.6325

Grothendieck-Riemann-Roch for derived schemes

Parker Lowrey·Timo Schürg
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Abstract

We define bivariant algebraic K-theory and bivariant derived Chow on the homotopy category of derived schemes over a smooth base. The orientation on the latter corresponds to virtual Gysin homomorphisms. We then provide a morphism between these two bivariant theories and compare the two orientations. This comparison then yields a homological and cohomological Grothendieck-Riemann-Roch formula for virtual classes.

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BibTeXRIS

Parker Lowrey, Timo Schürg. 2012-08-30. Grothendieck-Riemann-Roch for derived schemes. https://arxiv.org/abs/1208.6325

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