| 研究課題/領域番号 |
25400004
|
|---|
| 研究機関 | 筑波大学 |
|---|
研究代表者 |
木村 健一郎 筑波大学, 数理物質系, 講師 (50292496)
|
|---|
| 研究期間 (年度) |
2013-04-01 – 2017-03-31
|
| キーワード | Hodge realization |
|---|
| 研究実績の概要 |
This year we continued on the construction of the Hodge realization of Bloch-Kriz mixed Tate motives. We finished the construction of the chain complex TC last year, but we ovelooked a certain property about the face map which the complex TC should have. We spent sometime to prove that property. Also to show that our construction coincides with the original Hodge realization due to Bloch and Kriz, we need to construct another complex which contains both TC and the complex of somooth differenatial forms with logarithmic poles along the divisor at infinity. Terasoma has got an idea about how to construct such a complex, and we have been working out the details. We decided write a paper on the results we have obtained so far.
|
| 現在までの達成度 (区分) |
現在までの達成度 (区分)
3: やや遅れている
理由
More time was needed than we had expected to prove the necessary properties of the complex TC.
|
| 今後の研究の推進方策 |
We will finish the construction of the Hodge realization of mixed Tate motives, and consider the case of mixed elliptic motives.
|
| 次年度使用額が生じた理由 |
The progress is a little delayed than our original plan which is to construct the Hodge realization of mixed elliptic motives.
|
| 次年度使用額の使用計画 |
Next year we will finish our program for this year. The rest of the badget for this year will be used for this.
|
