2014 Fiscal Year Final Research Report
Singularities on algebraic varieties
Project/Area Number |
22340004
|
Research Category |
Grant-in-Aid for Scientific Research (B)
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Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Algebra
|
Research Institution | The University of Tokyo |
Principal Investigator |
ISHII Shihoko 東京大学, 数理(科)学研究科(研究院), 教授 (60202933)
|
Co-Investigator(Kenkyū-buntansha) |
WATANABE Keiichi 日本大学, 文理学部, 教授 (10087083)
TAKAGI Shunsuke 東京大学, 大学院数理科学研究科, 准教授 (40380670)
TOMARU Tadashi 群馬大学, 医学部, 教授 (70132579)
|
Project Period (FY) |
2010-04-01 – 2015-03-31
|
Keywords | 特異点 / 弧空間 / 極小対数的食い違い数 |
Outline of Final Research Achievements |
We proved the Inversion of Adjunction formula according to the minimal log discrepancies which is defined by Mather-Jacobian discrepancies. By means of this discrepancies we introduced MJ-canonical singularities and also MJ-multiplier ideal. We also prove that the ideal has good properties; vanishing theorem, subaddidivity property and so on. In general MJ-minimal log discrepancy is greater than of equal to the dimension of the variety, we determined all MJ , we determined singularities whose MJ-minimal log discrepancy.
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Free Research Field |
代数幾何学
|