2009 Fiscal Year Final Research Report
Branched covers and Zariski pairs
| Project/Area Number |
19540043
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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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 | Tokyo Metropolitan University |
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Principal Investigator |
TOKUNAGA Hiroo Tokyo Metropolitan University, 大学院・理工学研究科, 教授 (30211395)
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| Co-Investigator(Kenkyū-buntansha) |
OKA Mutsuo 東京理科大学, 理学部, 教授 (40011697)
SHIMADA Ichiro 広島大学, 大学院・理学研究科 (10235616)
ISHIDA Hirotaka 宇部工業高等専門学校, 一般科, 講師 (30435458)
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| Project Period (FY) |
2007 – 2009
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| Keywords | Galois分岐被覆 / ザリスキ・ペア |
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| Research Abstract |
I have investigated branched Galois covers and Zariski pairs. With E.Artal Bartolo and J.-I.Cogolludo, I first wrote a survey article on Zariski pairs. In the survey, main tools and results about Zariski pair up until around 2007 are explained. Also some new results are contained in the survey. Afterward, I have studied 1. veral Galois covers and the two dimensional Cremona group, 2. non-Galois triple covers (a generalization of Zariski's example and pull-back constructions), and 3. splitting curves on double covers and their application to Zariski pairs.
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