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arXiv · 2004.07779

Grothendieck-Witt groups of some singular schemes

Max Karoubi·Marco Schlichting·Charles Weibel
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Abstract

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.

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Max Karoubi, Marco Schlichting, Charles Weibel. 2020-04-16. Grothendieck-Witt groups of some singular schemes. https://doi.org/10.1112/plms.12383

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