Investigation of degenerations and uniformizations by means of rigid geometry
| Project/Area Number |
26400050
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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 | Tokyo Institute of Technology (2015-2016)
Kumamoto University (2014) |
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Principal Investigator |
Kato Fumiharu 東京工業大学, 理学院, 教授 (50294880)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | リジッド幾何学 / 代数幾何学 / トロピカル幾何学 / Berkovich幾何学 |
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| Outline of Final Research Achievements |
(1) A totally new p-adic uniformization with torsion in dimension two, which gives rise to a fake projective plane which is, however, non-isomorphic to the Mumford's one, has been observed for the first time, in the course of our enduring investigation for higher dimensional non-archimedean "orbifold uniformization", viz., uniformization with torsion elements.
(2) The full-scale theorization of the so-called "Henselian rigid geometry" has been embarked, probably for the first time in this field of mathematical researches, as a new conceptualization of most modern algebro-geometric and rigid-analytic hybrid spaces, which will, expectedly, enhance the arithmetico- and algebro-geometric aspects of the classical rigid geometry.
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Report
(4 results)
Research Products
(10 results)
