English

Cancellation theorems for reciprocity sheaves

K-Theory and Homology 2022-09-21 v4 Algebraic Geometry

Abstract

We prove cancellation theorems for reciprocity sheaves and cube-invariant modulus sheaves with transfers of Kahn--Saito--Yamazaki, generalizing Voevodsky's cancellation theorem for A1\mathbf{A}^1-invariant sheaves with transfers. As an application, we get some new formulas for internal hom's of the sheaves Ωi\Omega^i of absolute K\"ahler differentials.

Keywords

Cite

@article{arxiv.2001.07902,
  title  = {Cancellation theorems for reciprocity sheaves},
  author = {Alberto Merici and Shuji Saito},
  journal= {arXiv preprint arXiv:2001.07902},
  year   = {2022}
}

Comments

68 pages, minor changes. To appear in Algebraic Geometry

R2 v1 2026-06-23T13:17:23.436Z