论文标题
一些单数计划
Grothendieck-Witt groups of some singular schemes
论文作者
论文摘要
我们为$ \ mathbb {z} [1/2] $的Witt和Grothendieck-Witt组建立了一些结构性结果,其中包括Witt组的同型不变性,以及在一个方案中为Witt和Grothendieck-Witt组的公式。所有这些结果都适用于单数方案和光谱级别。
We establish some structural results for the Witt and Grothendieck-Witt groups of schemes over $\mathbb{Z}[1/2]$, including homotopy invariance for Witt groups and a formula for the Witt and Grothendieck-Witt groups of punctured affine spaces over a scheme. All these results hold for singular schemes and at the level of spectra.