论文标题
在Hermitian Witt团体的Gersten猜想中
On the Gersten conjecture for hermitian Witt groups
论文作者
论文摘要
我们证明,Hermitian Gersten-Witt综合体是Azumaya代数精确的,而第一或第二类在常规的本地环上,该环基本上是在场上或离散的评估环上平滑的。
We prove that the hermitian Gersten-Witt complex is exact for Azumaya algebras with involution of the first- or second kind over a regular local ring, which is essentially smooth over a field, or over a discrete valuation ring.