Moduli spaces and derived categories
| Project/Area Number |
21540039
|
|---|
| 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 |
ISHII Akira 広島大学, 大学院・理学研究科, 准教授 (10252420)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
SHIMADA Ichiro 広島大学, 大学院・理学研究科, 教授 (10235616)
SHUN-ICHI Kimura 広島大学, 大学院・理学研究科, 教授 (10284150)
HIDEYASU Sumihiro 広島大学, 大学院・理学研究科, 名誉教授 (60068129)
|
|---|
| Project Period (FY) |
2009 – 2011
|
| Project Status |
Completed (Fiscal Year 2011)
|
| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
|
|---|
| Keywords | 導来圏 / McKay対応 / ダイマー模型 / ミラー対称性 / ヒルベルトスキーム / 代数幾何学 / マッカイ対応 / モジュライ |
|---|
| Research Abstract |
We determined the consistency condition for dimer models which ensures the derived equivalence between the quiver with relations and the 3-dimensional Gorenstein affine toric variety associated to it. We constructed a full strong exceptional collection consisting of line bundles on a 2-dimensional toric weak Fano stack. We proved that the remaining component in the special McKay correspondence is generated by an exceptional collection. We obtained a certain kind of description of the derived category of a Fermat variety. We obtained some results on iterated G-Hilbert schemes.
|
Report
(4 results)
Research Products
(35 results)
