2014 Fiscal Year Final Research Report
Zero-dimensional Gorenstein algebra with the strong Lefschets properties
| Project/Area Number |
24540050
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Tokai University |
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Principal Investigator |
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Keywords | Lefschetz Properties / ０次元ゴレンスタイン環 / 完全交叉環 / Sperner 性 / ヒルベルト関数 / 次数付き環 / コホモロジー環 / 巾ゼロ元 |
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| Outline of Final Research Achievements |
In September, 2013, I published a book entitled "The Lefschetz Properties," with 5 Japanese coauthors. It took 10 years to write this book. In the course of writing the book, it turned out that the topic has many ties to other areas of algebra. In September 2012, I organized a workshop in Hawaii Tokai International College, where 13 researchers from Japan, USA, Sweden and Germany, gathered and we reported the latest results and exchanged ideas. In March, 2015, I organized a workshop in Goettingen, Germany, for the second time, under a cooperation with German and American and Spanish researchers, where more or less 25 researchers came together and we exchanged ideas and new results. It is scheduled to have such a workshop at Banff, Canada in 2016 for the third time.
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| Free Research Field |
代数学
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