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Riemann-Roch for homotopy invariant K-theory and Gysin morphisms | | Alberto Navarro
; | | Date: |
3 May 2016 | | Abstract: | We prove the Riemann-Roch theorem for homotopy invariant $K$-theory and
projective local complete intersection morphisms between finite dimensional
noetherian schemes, without smoothness assumptions. We also prove a new
Riemann-Roch theorem for the relative cohomology of a morphism.
In order to do so, we construct and characterize Gysin morphisms for regular
immersions between cohomologies represented by spectra (examples include
homotopy invariant $K$-theory, motivic cohomology, their arithmetic
counterparts, real absolute Hodge and Deligne-Beilinson cohomology, rigid
syntomic cohomology, mixed Weil cohomologies) and use this construction to
prove a motivic version of the Riemann-Roch. | | Source: | arXiv, 1605.0980 | | Services: | Forum | Review | PDF | Favorites | |
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