Higher Chow groups of varieties over local fields
Project/Area Number |
19740002
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Single-year Grants |
Research Field |
Algebra
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Research Institution | Tohoku University |
Principal Investigator |
YAMAZAKI Takao Tohoku University, 大学院・理学研究科, 准教授 (00312794)
|
Project Period (FY) |
2007 – 2009
|
Project Status |
Completed (Fiscal Year 2009)
|
Budget Amount *help |
¥3,960,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥660,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2007: ¥1,100,000 (Direct Cost: ¥1,100,000)
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Keywords | 数論幾何学 / 高次元類体論 / 高次Chow群 / Brauer群 / K-群 / 代数学 / 数論幾何 / Milnor K群 / Artin L-関数 / 代数的完全可積分系 |
Research Abstract |
Higher Chow groups of varieties is a wide generalization of the ideal class group in the algebraic number theory, and are regarded as a fundamental research theme. When varieties are defined over a local field, it naturally appears in arithmetic context, such as the higher dimensional class field theory and Brauer-Manin pairing. We developed the class field theory for a product of curves, and the Brauer-Manin pairing for open varieties (which was previously considered only for complete varieties).
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Report
(4 results)
Research Products
(29 results)