2015 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 立教大学, 理学部, 教授 (30571963)
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| Project Period (FY) |
2011-04-01 – 2016-03-31
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| Keywords | モチビック・コホモロジー / テート・ポアテュー双対性 |
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| Outline of Annual Research Achievements |
I researched etale motivic cohomology of smooth and proper schemes over algebraically closed fields, finite fields, and local fields, and wrote a paper giving structure results on this. In the same paper I also proved a duality result for integral etale motivic cohomology over such fields. The paper has been submitted for publication.
In joint work with Alexander Schmidt (Heidelberg), we are trying to use my duality theorem for non-smooth schemes to prove a Tate-Poitou sequence for schemes over a global field. This has been previously studied by Shuji Saito in the smooth case, but we try to prove this for arbitrary schemes of finite type. We have made good progress, and expect to produce a preprint within this year.
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| Research Progress Status |
27年度が最終年度であるため、記入しない。
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| Strategy for Future Research Activity |
27年度が最終年度であるため、記入しない。
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