| 研究課題/領域番号 |
23340004
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| 研究機関 | 名古屋大学 |
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研究代表者 |
ガイサ トーマス 名古屋大学, 多元数理科学研究科, 教授 (30571963)
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| 研究期間 (年度) |
2011-04-01 – 2016-03-31
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| キーワード | Motivic Cohomology / Class field theory |
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| 研究実績の概要 |
In the previous year I concluded the project with Alexander Schmidt (Heidelberg) on class field theory of (possibly singular) schemes over algebraically closed fields or finite fields. One paper has been accepted for publication, and the other paper is posted on the ArXiv.
My other results on descent of Suslin-homology for hyperenvelopes has appeared now, and the other results on Rojtman's theorem for normal schemes has been accepted for publication.
I started the study or motivic cohomology over algebraically closed field and a duality theorem between mod m and m-torsion of etale motivic cohomology. I have some preliminary results, but more research has to be done.
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| 現在までの達成度 (区分) |
現在までの達成度 (区分)
2: おおむね順調に進展している
理由
I made progress to the expected extend.
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| 今後の研究の推進方策 |
It turns out that in order to understand motivic cohomology over dedeking rings, it is useful to have a better understanding of etale motivic cohomology over algebraic closed fields, and of rational motivic cohomology. I the next year I am planing to focus on these two topics.
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