Witt Cohomology, Mayer-vietoris, Homotopy Invariance and the Gersten Conjecture
نویسندگان
چکیده
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. Dedicated to Professor Manuel Ojanguren on his sixtieth birthday.
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∗This research was sponsored in part by the National Science Foundation under grant numbers CCF-1116703 and CCF-1445995 (REU). The views and conclusions contained in this document are those of the author and should not be interpreted as representing the official policies, either expressed or implied, of any sponsoring institution, the U.S. government or any other entity. See http://homotopytype...
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