表題番号：2024E-020
日付：2025/03/26
研究課題Vanishing and Duality of Witt‑Divisorial Sheaf Cohomology
| 研究者所属（当時） | 資格 | 氏名 | |
|---|---|---|---|
| （代表者） | 理工学術院 基幹理工学部 | 助手 | レムケ ニクラス |
- 研究成果概要
In 2023 I proved an improved duality theorem and vanishing theorem for Witt divisorial sheaves.
This year I further improved the result and expanded it to include nef and big divisors in the case of surfaces.
Since then I have been working on applying the result to obtain interesting results in the original setting of a smooth surface in positive characteristic、as well as providing illuminating real-world examples.