论文标题
关于色度局部遗传性Hermitian K理论的评论
Remarks on chromatically localised hermitian K-theory
论文作者
论文摘要
我们描述了离散戒指的真实l-spectra的色彩定位,并推断出$ k(1)$ - 本地$ k $ - 由bhatt-clausen-mathew建立的戒指理论也具有Grothendieck-Witt理论。此外,我们收集了一些关于各种L理论光谱的较高色度定位及其对Grothendieck-Witt理论的后果的结果。
We describe chromatic localisations of genuine L-spectra of discrete rings and deduce that the purity property of $K(1)$-local $K$-theory of rings established by Bhatt-Clausen-Mathew also holds in Grothendieck-Witt theory. In addition, we collect some results on higher chromatic localisations of various L-theory spectra and their consequences for Grothendieck-Witt theory.