Geometry and combinatorics of hyperplane arrangements
| Project/Area Number |
20740038
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | Kobe University |
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Principal Investigator |
YOSHINAGA Masahiko Kobe University, 理学研究科, 助教 (90467647)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2008: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Keywords | 超平面配置 / 対数的ベクトル場 / 極小セル分割 |
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| 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.
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Report
(4 results)
Research Products
(34 results)
