English

Grothendieck-Witt groups of some singular schemes

Algebraic Geometry 2020-09-30 v1 Algebraic Topology

Abstract

We establish some structural results for the Witt and Grothendieck-Witt groups of schemes over Z[1/2]\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.

Keywords

Cite

@article{arxiv.2004.07779,
  title  = {Grothendieck-Witt groups of some singular schemes},
  author = {Max Karoubi and Marco Schlichting and Charles Weibel},
  journal= {arXiv preprint arXiv:2004.07779},
  year   = {2020}
}

Comments

There is an appendix by M. Schlichting