2009 Fiscal Year Final Research Report
Study of vector bundles on algebraic varieties
| Project/Area Number |
19540034
|
|---|
| 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 |
SUMIHIRO Hideyasu Hiroshima University, 大学院・理学研究科, 名誉教授 (60068129)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
ISHII Akira 広島大学, 大学院・理学研究科, 准教授 (10252420)
KIMURA Shunichi 広島大学, 大学院・理学研究科, 准教授 (10284150)
KITADAI Yukinori 広島大学, 大学院・工学研究科, 特任助教 (30511563)
|
|---|
| Project Period (FY) |
2007 – 2009
|
| Keywords | 代数幾何学 |
|---|
| Research Abstract |
Lange-Pauly proved that the direct images of line bundles on non-singular projective curve with genus greater than or equal 2 are semi-stable. We extended this result to semi-stable vector bundles on non-singular curves and non-singular projective surfaces. As a corollary, we get a new result on geography of non-singular minimal surfaces of general type in positive characteristics. Further, We obtained a new theorem for rank two vector bundles on 4-dimensional projective space to split into line bundles.
|
Research Products
(9 results)
