2015 Fiscal Year Final Research Report
Motivic cohomology over discrete valuation rings
| Project/Area Number |
23340004
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Rikkyo University (2015)
Nagoya University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
Hesselholt Lars 名古屋大, 多元数理科学研究科, 教授 (10436991)
Saito Shuji 東京工業大学, 学部, 教授 (50153804)
Sato Kanetomo 中央大学, 理工学部数学科, 教授 (50324398)
Asakura Masanori 北海道大学, 理学院数学専攻, 教授 (60322286)
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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 / ススリンホモロジー / スキームの類対論 |
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| Outline of Final Research Achievements |
Arithmetic geometry is the study of integral or rational solutions of systems of polynomial equations. For this, it is often useful to study the solutions in other domains, like complex number, real numbers, finite fields, or p-adic fields. An important invariant of such solution sets are motivic cohomology, higher Chow groups, and Suslin homology. During this project, I studied these invariants, and proved several interesting results about them.
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| Free Research Field |
数論幾何学
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