English

Hermitian K-theory of quadric hypersurfaces

K-Theory and Homology 2026-01-27 v2

Abstract

Let k be a commutative ring in which 2 is invertible. We prove that the Hermitian K-theory of quadric hypersurfaces over k admits fibration sequences relating it to the base ring and to Clifford algebras equipped with various duality coefficients. All shifts and twists are taken into account.

Keywords

Cite

@article{arxiv.1601.06633,
  title  = {Hermitian K-theory of quadric hypersurfaces},
  author = {Heng Xie},
  journal= {arXiv preprint arXiv:1601.06633},
  year   = {2026}
}