2012 Fiscal Year Final Research Report
Topology and combinatorics of hyperplane arrangements
| Project/Area Number |
23740050
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Geometry
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| Research Institution | Hokkaido University (2012)
Kyoto University (2011) |
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Principal Investigator |
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| Project Period (FY) |
2011 – 2012
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| Keywords | 超平面配置 / 自由配置 / ミルナーファイバー / 局所系 |
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| Research Abstract |
Hyperplane arrangements appear many branches of mathematics including combinatorics, representation theory, topology, etc. One of main problems is to decide to what extent the structures of arrangements are determined by the combinatorial structures. We have stdudied local system homology groups based on the recent developments of the irreducibility of the moduli space of line arrangements and minimal cell structures. We have obtained new algorithm computing local system homology, several qualitative results on the Milnor fibers and new characterization for the freeness.
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