English

Structure theorem for log de Rham-Witt sheaves with vanishing

Algebraic Geometry 2025-05-02 v2 K-Theory and Homology

Abstract

We prove an elegant structure theorem for log de Rham-Witt sheaves with vanishing along an effective Cartier divisor DD defined in arXiv:2403.18763, answering a question of Shuji Saito during the Mainz conference and a question of Yigeng Zhao during a short visit of the author last summer. Our structural result for the log forms also lays the foundation for the study of Milnor KK-theory with vanishing along DD in the paper to come.

Keywords

Cite

@article{arxiv.2501.06944,
  title  = {Structure theorem for log de Rham-Witt sheaves with vanishing},
  author = {Fei Ren},
  journal= {arXiv preprint arXiv:2501.06944},
  year   = {2025}
}

Comments

29 pages. Minor statement improvement in section 4.1

R2 v1 2026-06-28T21:04:05.611Z