paper

Structure theorem for log de Rham-Witt sheaves with vanishing

arXiv:2501.06944 · doi:10.1016/j.jalgebra.2026.07.017

Abstract

We prove an elegant structure theorem for log de Rham-Witt sheaves with vanishing along an effective Cartier divisor 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 -theory with vanishing along in the paper to come.

arXiv comment38 pages. To appear in Journal of Algebra