Zusammenfassung
Let R be a Gorenstein ring of finite Krull dimension and t is an element of R a regular element. We show that if the quotient map R -> R/Rt has a flat splitting then the transfer morphism of coherent Witt groups `Tr-(R/Rt)/R (W) over tilde (i)(R/Rt) (W) over tilde (i+1)(R) is zero for all i is an element of Z. As an application we give another proof of the Gersten conjecture for Witt groups in ...
Zusammenfassung
Let R be a Gorenstein ring of finite Krull dimension and t is an element of R a regular element. We show that if the quotient map R -> R/Rt has a flat splitting then the transfer morphism of coherent Witt groups `Tr-(R/Rt)/R (W) over tilde (i)(R/Rt) (W) over tilde (i+1)(R) is zero for all i is an element of Z. 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. (c) 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
Altmetric