| Project/Area Number |
16540046
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Waseda University |
|---|
Principal Investigator |
KOMATSU Keiichi Waseda University, Faculty of Science and Engineering, Professor, 理工学術院, 教授 (80092550)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
HASHIMOTO Kiichiro Waseda University, Faculty of Science and Engineering, Professor, 理工学術院, 教授 (90143370)
|
|---|
| Project Period (FY) |
2004 – 2006
|
| Project Status |
Completed (Fiscal Year 2006)
|
| Budget Amount *help |
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2006: ¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 2005: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2004: ¥1,000,000 (Direct Cost: ¥1,000,000)
|
|---|
| Keywords | ray class field / unit / abelian variety / λ-invariant / 虚数乗法 / Jacobian variety / theta function |
|---|
| Research Abstract |
We construct certain algebraic integers αm as special values of two variable theta functions in the ray class field of a certain quartic field modulo 2m, and study a property of prime i deals which appear in αm in connection to the relationships between cyclotomic units and exponential functions and between elliptic units and elliptic functions, Moreover, we study a relationship between the Mordell-Weil rank of an abelian variety with complex multiplication and the Iwasawa λ-invariant of a certain ZLP-extension.
|
