2014 Fiscal Year Annual Research Report
| Project/Area Number |
23340004
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| Research Institution | Nagoya University |
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Principal Investigator |
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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| Project Period (FY) |
2011-04-01 – 2016-03-31
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| Keywords | Motivic Cohomology / Class field theory |
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| Outline of Annual Research Achievements |
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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| Current Status of Research Progress |
Current Status of Research Progress
2: Research has progressed on the whole more than it was originally planned.
Reason
I made progress to the expected extend.
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| Strategy for Future Research Activity |
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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