2013 Fiscal Year Final Research Report
Toward the fundamental inequality for normal surface singularities
| Project/Area Number |
23654008
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Algebra
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| Research Institution | Osaka University |
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Principal Investigator |
KONNO Kazuhiro 大阪大学, 理学(系)研究科(研究院), 教授 (10186869)
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| Project Period (FY) |
2011 – 2013
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| Keywords | 特異点 / 標準サイクル / 種数 |
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| Research Abstract |
We considered normal surface singularities in order to obtain an inequality between the self-intersection number of the canonical cycle and the geometric genus. Our inequality is modeled on the slope inequality for fibred algebraic surfaces, and thus the ratio shuld be expressed as a function in the fundamental genus. We could establish the desired inequalities for double and triple points of cyclic type, by using the canonical resolution. They lead us to another proof for Durfee's conjecture in such special cases.
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Research Products
(8 results)
