2014 Fiscal Year Final Research Report
A study of log-geometric analogues of algeraic K-theory and its application to arithmetic and algebraic geometry
| Project/Area Number |
23740030
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Algebra
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| Research Institution | Hokkaido University |
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Principal Investigator |
HAGIHARA Kei 北海道大学, 理学(系)研究科(研究院), 研究員 (30512173)
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| Project Period (FY) |
2011-04-28 – 2015-03-31
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| Keywords | 代数的K理論 / 対数的幾何学 / 代数的サイクル |
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| Outline of Final Research Achievements |
We study several properties of log-geometric analogues of algebraic K-theory, which is one of the most important invariants in arithmetic and algebraic geometry, focusing on those of Kummer etale K-groups and logarithmic Grothendieck-Riemann-Roch theorem formulated by them.
We also consider their applications to algebraic and arithmetic geometry.
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| Free Research Field |
数論幾何学
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