### A zero theorem for the transfer of coherent Witt groups, by Stefan Gille and Jens Hornbostel

Let R be a Gorenstein ring of finite Krull dimension and t a regular element
of R. We show that if the quotient map R --> R/Rt has a flat splitting then
the transfer map of coherent Witt groups induced by this quotient map is
zero. As an application we give another proof of the Gersten conjecture for
Witt groups in the case of regular semilocal rings essentially of finite type
over a field of characteristic not 2.

Stefan Gille <gilles@math.uni-muenster.de>

Jens Hornbostel <jens.hornbostel@mathematik.uni-regensburg.de>