Research on the structure of Iwasawa modules for p-adic representations
| Project/Area Number |
21540018
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Hiroshima University |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2009 – 2012
|
| Project Status |
Completed (Fiscal Year 2012)
|
| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
|
|---|
| Keywords | 岩澤加群 / イデアル類群 / Greenberg 予想 / 円単数 / ガウス和 / 岩澤不変量 / Greenberg予想 / Kummer-Vandiver予想 / p進L関数 / 一般Greenberg予想 / 岩澤多項式 / Eisensteinイデアル |
|---|
| Research Abstract |
In this research, we investigated concrete structure of Iwasawa modules for p-adic representations by systematic use of specialelements. We especially noticed large Iwasawa lambda or nu invariants. We computed these invariants of the rational number field and 122 quadratic fields with the discriminant D
|
Report
(5 results)
Research Products
(11 results)
