Witt cohomology and the Gersten Conjecture, by Paul Balmer

We establish a Mayer-Vietoris long exact sequence for Witt groups of regular schemes. We also establish homotopy invariance for Witt groups of regular schemes. For this, we introduce Witt groups with supports using triangulated categories. Subsequently we use these results to prove the Gersten-Witt Conjecture for semi-local regular rings of geometric type over infinite fields of characteristic different from two.


Paul Balmer <balmer@jardine.math.uwo.ca>