Orientation theory in arithmetic geometry

Details Orientation theory in arithmetic geometry Orientation theory in arithmetic geometry

2011-11-17

arxiv.org/abs/1111.4203v1

Mathematics

Algebraic Geometry

24 pages

Scientific paper

We extend the Riemann-Roch formula of Panin to the case of regular schemes
(or alternatively smooth schemes over an arbitrary base) for suitable oriented
ring spectra. On the way we establish a residual Riemann-Roch formula which we
have not seen explicitly in the literature until now.

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