论文标题
Grothendieck-Witt Spectra的投影捆绑包配方
The Projective Bundle Formula for Grothendieck-Witt spectra
论文作者
论文摘要
Grothendieck-Witt Spectra尤其是更高的Grothendieck-Witt组，尤其是较高的Hermitian K理论。基础方案上的$ x $的有限尺寸柱子捆绑$ \ mathbb {p}（\ Mathcal {e}）$ x $的Grothendieck-Witt频谱的描述是根据基础的Grothendieck-Witt Spectra，使用严格的完美复合物，前提是$ x $的$ x $ pexpect a $ x $ x $ x $ x $。 } \ mathbb {z} [1/2] $并满足分辨率属性，例如如果$ x $有足够的线条系列。
Grothendieck-Witt spectra represent higher Grothendieck-Witt groups and higher Hermitian K-theory in particular. A description of the Grothendieck-Witt spectrum of a finite dimensional projective bundle $\mathbb{P}(\mathcal{E})$ over a base scheme $X$ is given in terms of the Grothendieck-Witt spectra of the base, using the dg category of strictly perfect complexes, provided that $X$ is a scheme over $\text{Spec }\mathbb{Z}[1/2]$ and satisfies the resolution property, e.g. if $X$ has an ample family of line bundles.
