| Project/Area Number |
21540033
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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 | Niigata University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
TOKUNAGA Hiroo 首都大学東京, 理工学研究科, 教授 (30211395)
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| Co-Investigator(Renkei-kenkyūsha) |
KONDO Shigeyuki 名古屋大学, 多元数理科学研究科, 教授 (50186847)
KONNO Kazuhiro 大阪大学, 理学研究科, 教授 (10186869)
KOJIMA Hideo 新潟大学, 自然科学系, 准教授 (90332824)
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Keywords | 代数幾何学 / ガロワ埋め込み / 代数曲面 / ガロワ群 / 分岐被覆 / ガロワ点 / 種数1の曲線 / 単尖点有理曲線 / 自己同型群 / アーベル曲面 / K3曲面 / ガロワ被覆 / 射影 / 楕円曲線 |
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| Research Abstract |
Suppose an abelian surface A has a Galois embedding. Then, what is the least number n such that A is embedded into the projective n-space? The answer is 7 and moreover such an abelian surface is isomorphic to E×E, where E is an elliptic curve. We considered also the questions for curves. For the plane curve with genus 1 we found the Galois group when it has a Galois point, for the space elliptic curve we found it has always Galois lines.
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