English

Motives with modulus, I: Modulus sheaves with transfers for non-proper modulus pairs

Algebraic Geometry 2024-04-17 v7 K-Theory and Homology

Abstract

We develop a theory of modulus sheaves with transfers, which generalizes Voevodsky's theory of sheaves with transfers. This paper and its sequel are foundational for the theory of motives with modulus, which is developed in [KMSY20].

Keywords

Cite

@article{arxiv.1908.02975,
  title  = {Motives with modulus, I: Modulus sheaves with transfers for non-proper modulus pairs},
  author = {Bruno Kahn and Hiroyasu Miyazaki and Shuji Saito and Takao Yamazaki},
  journal= {arXiv preprint arXiv:1908.02975},
  year   = {2024}
}

Comments

64 pages

R2 v1 2026-06-23T10:42:46.496Z