2014 Fiscal Year Final Research Report
Various problems in arithmetic geometry concerning the structure elucidation of arithmetic fundamental groups
| Project/Area Number |
22340006
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Kyoto University |
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Principal Investigator |
TAMAGAWA Akio 京都大学, 数理解析研究所, 教授 (00243105)
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| Research Collaborator |
RASMUSSEN Christopher
CADORET Anna
SAIDI Mohamed
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| Project Period (FY) |
2010-04-01 – 2015-03-31
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| Keywords | 代数曲線 / 被覆 / 基本群 / ガロア表現 / アーベル多様体 / 正標数 / 国際研究者交流 |
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| Outline of Final Research Achievements |
As the original research plans, I invited each of my three overseas collaborators -- Christopher Rasmussen, Anna Cadoret and Mohamed Saidi -- almost every year during the period, by means of the present kakenhi grant and other financial sources, and made sufficient research achievements on the arithmetic geometry of covers and fundamental groups of algebraic curves. During the period, I submitted two joint papers with Rasmussen and had one more in preparation; published six joint papers with Cadoret and submitted three more; and published one joint paper with Saidi, had one more to appear, submitted two more and had one more in preparation.
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| Free Research Field |
整数論・数論幾何学
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