English

On Tate Milnor-Witt Motives

Algebraic Geometry 2025-05-20 v4 K-Theory and Homology

Abstract

Smooth projective Gm\mathbb{G}_m-varieties with isolated rational fixed points admit Tate Milnor-Witt motives. Over Euclidean fields, we give a splitting formula of such motives, which reduces the computation of their Chow-Witt groups to that of their Chow groups and cohomologies of Witt sheaf.

Keywords

Cite

@article{arxiv.2307.03424,
  title  = {On Tate Milnor-Witt Motives},
  author = {Jean Fasel and Nanjun Yang},
  journal= {arXiv preprint arXiv:2307.03424},
  year   = {2025}
}

Comments

27 pages, to appear in Annals of K-Theory

R2 v1 2026-06-28T11:24:19.724Z