A Gersten-Witt spectral sequence for regular schemes, by Paul Balmer and Charles Walter

We construct a spectral sequence starting with the Witt groups of the residue fields of a scheme and converging to the Witt groups of that scheme. The first page of this spectral sequence reduces to a Gersten complex. In low dimension, this gives new results regarding purity. The Witt groups of punctured spectra of regular local rings are also computed.


Paul Balmer <paul.balmer@uwo.ca>
Charles Walter <walter@math.unice.fr>