A study of log-geometric analogues of algeraic K-theory and its application to arithmetic and algebraic geometry
Project/Area Number |
23740030
|
Research Category |
Grant-in-Aid for Young Scientists (B)
|
Allocation Type | Multi-year Fund |
Research Field |
Algebra
|
Research Institution | Hokkaido University |
Principal Investigator |
HAGIHARA Kei 北海道大学, 理学(系)研究科(研究院), 研究員 (30512173)
|
Project Period (FY) |
2011-04-28 – 2015-03-31
|
Project Status |
Completed (Fiscal Year 2014)
|
Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
Keywords | 代数的K理論 / 対数的幾何学 / 代数的サイクル |
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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Report
(5 results)
Research Products
(6 results)