On coherent hermitian Witt groups

Abstract

We prove homotopy invariance for coherent hermitian Witt groups of Azumaya algebras with involutions over separated Gorenstein schemes of finite Krull dimension. We also generalize the zero theorem for the transfer and show that the Gersten conjecture holds for the hermitian Gersten–Witt complex of flat coherent algebras over a regular local ring which contains a field.