2010 Fiscal Year Final Research Report
Geometry and combinatorics of hyperplane arrangements
| Project/Area Number |
20740038
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Single-year Grants |
|---|
| Research Field |
Geometry
|
|---|
| Research Institution | Kobe University |
|---|
Principal Investigator |
YOSHINAGA Masahiko Kobe University, 理学研究科, 助教 (90467647)
|
|---|
| Project Period (FY) |
2008 – 2010
|
| Keywords | 超平面配置 / 対数的ベクトル場 / 極小セル分割 |
|---|
| Research Abstract |
In the first year, I studied the sheaf of logarithmic vector fields associated to divisors on the projective space. I obtained several results on Torelli-type theorem for generic hypersurface (Collaboration with K. Ueda) and on the freeness for hyperplane arrangements with multiplicities. In the second and third year, I studied minimality of hyperplane arrangements and applications. I obtained new presentations for fundamental groups and a characterization for vanishing twisted cohomology groups.
|
Research Products
(25 results)
