Grothendieck-Riemann-Roch for derived schemes

Autor:	Lowrey, Parker, Schürg, Timo
Rok vydání:	2012
Předmět:	Mathematics - Algebraic Geometry Mathematics - Algebraic Topology Mathematics - K-Theory and Homology 14C40 19L10
Druh dokumentu:	Working Paper
Popis:	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. Comment: 34 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1208.6325 Zobrazit plný text záznamu View this record from Arxiv