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arXiv · 2501.06944

Structure theorem for log de Rham-Witt sheaves with vanishing

Fei Ren
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Abstract

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

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Fei Ren. 2025-01-12. Structure theorem for log de Rham-Witt sheaves with vanishing. https://doi.org/10.1016/j.jalgebra.2026.07.017

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